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Finding the Third Proportional to 37,384.88 and 79,957.13

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Solution

The third proportional to 37,384.88 and 79,957.13 is: 171,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384.88 : 79,957.13 = 79,957.13 : x
  2. Step 2: Convert to fraction form
    37,384.88/79,957.13 = 79,957.13/x
  3. Step 3: Cross multiply
    37,384.88x = 79,957.13 × 79,957.13
  4. Step 4: Simplify right side
    37,384.88x = 6,393,141,838.27
  5. Step 5: Solve for x
    x = 6,393,141,838.27/37,384.88
  6. Step 6: Final answer
    x = 171,008.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.