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Finding the Third Proportional to 10,607 and 15,601

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Solution

The third proportional to 10,607 and 15,601 is: 22,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607 : 15,601 = 15,601 : x
  2. Step 2: Convert to fraction form
    10,607/15,601 = 15,601/x
  3. Step 3: Cross multiply
    10,607x = 15,601 × 15,601
  4. Step 4: Simplify right side
    10,607x = 243,391,201
  5. Step 5: Solve for x
    x = 243,391,201/10,607
  6. Step 6: Final answer
    x = 22,946.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.