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Finding the Third Proportional to 22,042.97 and 31,509

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Solution

The third proportional to 22,042.97 and 31,509 is: 45,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042.97 : 31,509 = 31,509 : x
  2. Step 2: Convert to fraction form
    22,042.97/31,509 = 31,509/x
  3. Step 3: Cross multiply
    22,042.97x = 31,509 × 31,509
  4. Step 4: Simplify right side
    22,042.97x = 992,817,081
  5. Step 5: Solve for x
    x = 992,817,081/22,042.97
  6. Step 6: Final answer
    x = 45,040.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.