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Finding the Third Proportional to 15,577 and 24,797.50

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Solution

The third proportional to 15,577 and 24,797.50 is: 39,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,577 : 24,797.50 = 24,797.50 : x
  2. Step 2: Convert to fraction form
    15,577/24,797.50 = 24,797.50/x
  3. Step 3: Cross multiply
    15,577x = 24,797.50 × 24,797.50
  4. Step 4: Simplify right side
    15,577x = 614,916,006.25
  5. Step 5: Solve for x
    x = 614,916,006.25/15,577
  6. Step 6: Final answer
    x = 39,475.89

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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.