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Finding the Third Proportional to 20,800.13 and 45,397.13

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Solution

The third proportional to 20,800.13 and 45,397.13 is: 99,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.13 : 45,397.13 = 45,397.13 : x
  2. Step 2: Convert to fraction form
    20,800.13/45,397.13 = 45,397.13/x
  3. Step 3: Cross multiply
    20,800.13x = 45,397.13 × 45,397.13
  4. Step 4: Simplify right side
    20,800.13x = 2,060,898,958.27
  5. Step 5: Solve for x
    x = 2,060,898,958.27/20,800.13
  6. Step 6: Final answer
    x = 99,081.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.