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Finding the Third Proportional to 20,386.69 and 42,616.13

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Solution

The third proportional to 20,386.69 and 42,616.13 is: 89,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.69 : 42,616.13 = 42,616.13 : x
  2. Step 2: Convert to fraction form
    20,386.69/42,616.13 = 42,616.13/x
  3. Step 3: Cross multiply
    20,386.69x = 42,616.13 × 42,616.13
  4. Step 4: Simplify right side
    20,386.69x = 1,816,134,110.02
  5. Step 5: Solve for x
    x = 1,816,134,110.02/20,386.69
  6. Step 6: Final answer
    x = 89,084.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.