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Finding the Third Proportional to 36,900.47 and 58,744.59

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Solution

The third proportional to 36,900.47 and 58,744.59 is: 93,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,900.47 : 58,744.59 = 58,744.59 : x
  2. Step 2: Convert to fraction form
    36,900.47/58,744.59 = 58,744.59/x
  3. Step 3: Cross multiply
    36,900.47x = 58,744.59 × 58,744.59
  4. Step 4: Simplify right side
    36,900.47x = 3,450,927,294.85
  5. Step 5: Solve for x
    x = 3,450,927,294.85/36,900.47
  6. Step 6: Final answer
    x = 93,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.