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Finding the Third Proportional to 31,615.31 and 66,153.38

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Solution

The third proportional to 31,615.31 and 66,153.38 is: 138,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.31 : 66,153.38 = 66,153.38 : x
  2. Step 2: Convert to fraction form
    31,615.31/66,153.38 = 66,153.38/x
  3. Step 3: Cross multiply
    31,615.31x = 66,153.38 × 66,153.38
  4. Step 4: Simplify right side
    31,615.31x = 4,376,269,023.89
  5. Step 5: Solve for x
    x = 4,376,269,023.89/31,615.31
  6. Step 6: Final answer
    x = 138,422.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.