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Finding the Third Proportional to 20,381.63 and 42,069.38

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Solution

The third proportional to 20,381.63 and 42,069.38 is: 86,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.63 : 42,069.38 = 42,069.38 : x
  2. Step 2: Convert to fraction form
    20,381.63/42,069.38 = 42,069.38/x
  3. Step 3: Cross multiply
    20,381.63x = 42,069.38 × 42,069.38
  4. Step 4: Simplify right side
    20,381.63x = 1,769,832,312.89
  5. Step 5: Solve for x
    x = 1,769,832,312.89/20,381.63
  6. Step 6: Final answer
    x = 86,834.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.