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Finding the Third Proportional to 15,767 and 24,242.25

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Solution

The third proportional to 15,767 and 24,242.25 is: 37,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767 : 24,242.25 = 24,242.25 : x
  2. Step 2: Convert to fraction form
    15,767/24,242.25 = 24,242.25/x
  3. Step 3: Cross multiply
    15,767x = 24,242.25 × 24,242.25
  4. Step 4: Simplify right side
    15,767x = 587,686,685.06
  5. Step 5: Solve for x
    x = 587,686,685.06/15,767
  6. Step 6: Final answer
    x = 37,273.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.