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Finding the Third Proportional to 40,394 and 58,539

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Solution

The third proportional to 40,394 and 58,539 is: 84,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394 : 58,539 = 58,539 : x
  2. Step 2: Convert to fraction form
    40,394/58,539 = 58,539/x
  3. Step 3: Cross multiply
    40,394x = 58,539 × 58,539
  4. Step 4: Simplify right side
    40,394x = 3,426,814,521
  5. Step 5: Solve for x
    x = 3,426,814,521/40,394
  6. Step 6: Final answer
    x = 84,834.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.