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Finding the Third Proportional to 11,424.75 and 24,304.50

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Solution

The third proportional to 11,424.75 and 24,304.50 is: 51,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.75 : 24,304.50 = 24,304.50 : x
  2. Step 2: Convert to fraction form
    11,424.75/24,304.50 = 24,304.50/x
  3. Step 3: Cross multiply
    11,424.75x = 24,304.50 × 24,304.50
  4. Step 4: Simplify right side
    11,424.75x = 590,708,720.25
  5. Step 5: Solve for x
    x = 590,708,720.25/11,424.75
  6. Step 6: Final answer
    x = 51,704.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.