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Finding the Third Proportional to 6,537 and 10,089

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Solution

The third proportional to 6,537 and 10,089 is: 15,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 10,089 = 10,089 : x
  2. Step 2: Convert to fraction form
    6,537/10,089 = 10,089/x
  3. Step 3: Cross multiply
    6,537x = 10,089 × 10,089
  4. Step 4: Simplify right side
    6,537x = 101,787,921
  5. Step 5: Solve for x
    x = 101,787,921/6,537
  6. Step 6: Final answer
    x = 15,571.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.