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Finding the Third Proportional to 45,634 and 61,539

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Solution

The third proportional to 45,634 and 61,539 is: 82,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634 : 61,539 = 61,539 : x
  2. Step 2: Convert to fraction form
    45,634/61,539 = 61,539/x
  3. Step 3: Cross multiply
    45,634x = 61,539 × 61,539
  4. Step 4: Simplify right side
    45,634x = 3,787,048,521
  5. Step 5: Solve for x
    x = 3,787,048,521/45,634
  6. Step 6: Final answer
    x = 82,987.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.