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Finding the Third Proportional to 24,280 and 37,716

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Solution

The third proportional to 24,280 and 37,716 is: 58,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280 : 37,716 = 37,716 : x
  2. Step 2: Convert to fraction form
    24,280/37,716 = 37,716/x
  3. Step 3: Cross multiply
    24,280x = 37,716 × 37,716
  4. Step 4: Simplify right side
    24,280x = 1,422,496,656
  5. Step 5: Solve for x
    x = 1,422,496,656/24,280
  6. Step 6: Final answer
    x = 58,587.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.