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Finding the Third Proportional to 20,053.69 and 42,688.13

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Solution

The third proportional to 20,053.69 and 42,688.13 is: 90,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.69 : 42,688.13 = 42,688.13 : x
  2. Step 2: Convert to fraction form
    20,053.69/42,688.13 = 42,688.13/x
  3. Step 3: Cross multiply
    20,053.69x = 42,688.13 × 42,688.13
  4. Step 4: Simplify right side
    20,053.69x = 1,822,276,016.02
  5. Step 5: Solve for x
    x = 1,822,276,016.02/20,053.69
  6. Step 6: Final answer
    x = 90,869.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.