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Finding the Third Proportional to 24,057.75 and 37,788.75

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Solution

The third proportional to 24,057.75 and 37,788.75 is: 59,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.75 : 37,788.75 = 37,788.75 : x
  2. Step 2: Convert to fraction form
    24,057.75/37,788.75 = 37,788.75/x
  3. Step 3: Cross multiply
    24,057.75x = 37,788.75 × 37,788.75
  4. Step 4: Simplify right side
    24,057.75x = 1,427,989,626.56
  5. Step 5: Solve for x
    x = 1,427,989,626.56/24,057.75
  6. Step 6: Final answer
    x = 59,356.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.