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Finding the Third Proportional to 37,463 and 79,693

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Solution

The third proportional to 37,463 and 79,693 is: 169,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463 : 79,693 = 79,693 : x
  2. Step 2: Convert to fraction form
    37,463/79,693 = 79,693/x
  3. Step 3: Cross multiply
    37,463x = 79,693 × 79,693
  4. Step 4: Simplify right side
    37,463x = 6,350,974,249
  5. Step 5: Solve for x
    x = 6,350,974,249/37,463
  6. Step 6: Final answer
    x = 169,526.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.