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Finding the Third Proportional to 9,766 and 15,537

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Solution

The third proportional to 9,766 and 15,537 is: 24,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766 : 15,537 = 15,537 : x
  2. Step 2: Convert to fraction form
    9,766/15,537 = 15,537/x
  3. Step 3: Cross multiply
    9,766x = 15,537 × 15,537
  4. Step 4: Simplify right side
    9,766x = 241,398,369
  5. Step 5: Solve for x
    x = 241,398,369/9,766
  6. Step 6: Final answer
    x = 24,718.24

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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.