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Finding the Third Proportional to 8,537 and 9,185

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Solution

The third proportional to 8,537 and 9,185 is: 9,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537 : 9,185 = 9,185 : x
  2. Step 2: Convert to fraction form
    8,537/9,185 = 9,185/x
  3. Step 3: Cross multiply
    8,537x = 9,185 × 9,185
  4. Step 4: Simplify right side
    8,537x = 84,364,225
  5. Step 5: Solve for x
    x = 84,364,225/8,537
  6. Step 6: Final answer
    x = 9,882.19

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.