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Finding the Third Proportional to 15,617 and 24,650

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Solution

The third proportional to 15,617 and 24,650 is: 38,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617 : 24,650 = 24,650 : x
  2. Step 2: Convert to fraction form
    15,617/24,650 = 24,650/x
  3. Step 3: Cross multiply
    15,617x = 24,650 × 24,650
  4. Step 4: Simplify right side
    15,617x = 607,622,500
  5. Step 5: Solve for x
    x = 607,622,500/15,617
  6. Step 6: Final answer
    x = 38,907.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.