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Finding the Third Proportional to 15,537 and 23,301

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Solution

The third proportional to 15,537 and 23,301 is: 34,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537 : 23,301 = 23,301 : x
  2. Step 2: Convert to fraction form
    15,537/23,301 = 23,301/x
  3. Step 3: Cross multiply
    15,537x = 23,301 × 23,301
  4. Step 4: Simplify right side
    15,537x = 542,936,601
  5. Step 5: Solve for x
    x = 542,936,601/15,537
  6. Step 6: Final answer
    x = 34,944.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.