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Finding the Third Proportional to 20,341.13 and 22,209.19

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Solution

The third proportional to 20,341.13 and 22,209.19 is: 24,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.13 : 22,209.19 = 22,209.19 : x
  2. Step 2: Convert to fraction form
    20,341.13/22,209.19 = 22,209.19/x
  3. Step 3: Cross multiply
    20,341.13x = 22,209.19 × 22,209.19
  4. Step 4: Simplify right side
    20,341.13x = 493,248,009.41
  5. Step 5: Solve for x
    x = 493,248,009.41/20,341.13
  6. Step 6: Final answer
    x = 24,248.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.