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Finding the Third Proportional to 37,674 and 51,658.88

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Solution

The third proportional to 37,674 and 51,658.88 is: 70,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674 : 51,658.88 = 51,658.88 : x
  2. Step 2: Convert to fraction form
    37,674/51,658.88 = 51,658.88/x
  3. Step 3: Cross multiply
    37,674x = 51,658.88 × 51,658.88
  4. Step 4: Simplify right side
    37,674x = 2,668,639,366.27
  5. Step 5: Solve for x
    x = 2,668,639,366.27/37,674
  6. Step 6: Final answer
    x = 70,835.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.