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Finding the Third Proportional to 7,537 and 16,463

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Solution

The third proportional to 7,537 and 16,463 is: 35,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 16,463 = 16,463 : x
  2. Step 2: Convert to fraction form
    7,537/16,463 = 16,463/x
  3. Step 3: Cross multiply
    7,537x = 16,463 × 16,463
  4. Step 4: Simplify right side
    7,537x = 271,030,369
  5. Step 5: Solve for x
    x = 271,030,369/7,537
  6. Step 6: Final answer
    x = 35,959.98

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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.