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Finding the Third Proportional to 15,584 and 24,780

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Solution

The third proportional to 15,584 and 24,780 is: 39,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584 : 24,780 = 24,780 : x
  2. Step 2: Convert to fraction form
    15,584/24,780 = 24,780/x
  3. Step 3: Cross multiply
    15,584x = 24,780 × 24,780
  4. Step 4: Simplify right side
    15,584x = 614,048,400
  5. Step 5: Solve for x
    x = 614,048,400/15,584
  6. Step 6: Final answer
    x = 39,402.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.