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Finding the Third Proportional to 7,537 and 9,942

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Solution

The third proportional to 7,537 and 9,942 is: 13,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 9,942 = 9,942 : x
  2. Step 2: Convert to fraction form
    7,537/9,942 = 9,942/x
  3. Step 3: Cross multiply
    7,537x = 9,942 × 9,942
  4. Step 4: Simplify right side
    7,537x = 98,843,364
  5. Step 5: Solve for x
    x = 98,843,364/7,537
  6. Step 6: Final answer
    x = 13,114.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.