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Finding the Third Proportional to 7,537 and 16,395

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Solution

The third proportional to 7,537 and 16,395 is: 35,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 16,395 = 16,395 : x
  2. Step 2: Convert to fraction form
    7,537/16,395 = 16,395/x
  3. Step 3: Cross multiply
    7,537x = 16,395 × 16,395
  4. Step 4: Simplify right side
    7,537x = 268,796,025
  5. Step 5: Solve for x
    x = 268,796,025/7,537
  6. Step 6: Final answer
    x = 35,663.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.