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Finding the Third Proportional to 24,772.50 and 35,484.75

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Solution

The third proportional to 24,772.50 and 35,484.75 is: 50,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.50 : 35,484.75 = 35,484.75 : x
  2. Step 2: Convert to fraction form
    24,772.50/35,484.75 = 35,484.75/x
  3. Step 3: Cross multiply
    24,772.50x = 35,484.75 × 35,484.75
  4. Step 4: Simplify right side
    24,772.50x = 1,259,167,482.56
  5. Step 5: Solve for x
    x = 1,259,167,482.56/24,772.50
  6. Step 6: Final answer
    x = 50,829.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.