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Finding the Third Proportional to 31,822.88 and 66,260.53

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Solution

The third proportional to 31,822.88 and 66,260.53 is: 137,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.88 : 66,260.53 = 66,260.53 : x
  2. Step 2: Convert to fraction form
    31,822.88/66,260.53 = 66,260.53/x
  3. Step 3: Cross multiply
    31,822.88x = 66,260.53 × 66,260.53
  4. Step 4: Simplify right side
    31,822.88x = 4,390,458,001.53
  5. Step 5: Solve for x
    x = 4,390,458,001.53/31,822.88
  6. Step 6: Final answer
    x = 137,965.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.