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Finding the Third Proportional to 7,537 and 8,635

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Solution

The third proportional to 7,537 and 8,635 is: 9,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 8,635 = 8,635 : x
  2. Step 2: Convert to fraction form
    7,537/8,635 = 8,635/x
  3. Step 3: Cross multiply
    7,537x = 8,635 × 8,635
  4. Step 4: Simplify right side
    7,537x = 74,563,225
  5. Step 5: Solve for x
    x = 74,563,225/7,537
  6. Step 6: Final answer
    x = 9,892.96

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.