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Finding the Third Proportional to 22,042.13 and 31,969.69

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Solution

The third proportional to 22,042.13 and 31,969.69 is: 46,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042.13 : 31,969.69 = 31,969.69 : x
  2. Step 2: Convert to fraction form
    22,042.13/31,969.69 = 31,969.69/x
  3. Step 3: Cross multiply
    22,042.13x = 31,969.69 × 31,969.69
  4. Step 4: Simplify right side
    22,042.13x = 1,022,060,918.85
  5. Step 5: Solve for x
    x = 1,022,060,918.85/22,042.13
  6. Step 6: Final answer
    x = 46,368.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.