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Finding the Third Proportional to 22,371.19 and 31,359.66

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Solution

The third proportional to 22,371.19 and 31,359.66 is: 43,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371.19 : 31,359.66 = 31,359.66 : x
  2. Step 2: Convert to fraction form
    22,371.19/31,359.66 = 31,359.66/x
  3. Step 3: Cross multiply
    22,371.19x = 31,359.66 × 31,359.66
  4. Step 4: Simplify right side
    22,371.19x = 983,428,040.12
  5. Step 5: Solve for x
    x = 983,428,040.12/22,371.19
  6. Step 6: Final answer
    x = 43,959.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.