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Finding the Third Proportional to 18,130.08 and 37,387.83

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Solution

The third proportional to 18,130.08 and 37,387.83 is: 77,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,130.08 : 37,387.83 = 37,387.83 : x
  2. Step 2: Convert to fraction form
    18,130.08/37,387.83 = 37,387.83/x
  3. Step 3: Cross multiply
    18,130.08x = 37,387.83 × 37,387.83
  4. Step 4: Simplify right side
    18,130.08x = 1,397,849,691.90
  5. Step 5: Solve for x
    x = 1,397,849,691.90/18,130.08
  6. Step 6: Final answer
    x = 77,101.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.