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Finding the Third Proportional to 23,905.13 and 42,069.38

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Solution

The third proportional to 23,905.13 and 42,069.38 is: 74,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905.13 : 42,069.38 = 42,069.38 : x
  2. Step 2: Convert to fraction form
    23,905.13/42,069.38 = 42,069.38/x
  3. Step 3: Cross multiply
    23,905.13x = 42,069.38 × 42,069.38
  4. Step 4: Simplify right side
    23,905.13x = 1,769,832,312.89
  5. Step 5: Solve for x
    x = 1,769,832,312.89/23,905.13
  6. Step 6: Final answer
    x = 74,035.69

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.