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Finding the Third Proportional to 20,184.19 and 42,623.72

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Solution

The third proportional to 20,184.19 and 42,623.72 is: 90,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.19 : 42,623.72 = 42,623.72 : x
  2. Step 2: Convert to fraction form
    20,184.19/42,623.72 = 42,623.72/x
  3. Step 3: Cross multiply
    20,184.19x = 42,623.72 × 42,623.72
  4. Step 4: Simplify right side
    20,184.19x = 1,816,781,400.08
  5. Step 5: Solve for x
    x = 1,816,781,400.08/20,184.19
  6. Step 6: Final answer
    x = 90,010.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.