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Finding the Third Proportional to 31,471.03 and 66,587.06

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Solution

The third proportional to 31,471.03 and 66,587.06 is: 140,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.03 : 66,587.06 = 66,587.06 : x
  2. Step 2: Convert to fraction form
    31,471.03/66,587.06 = 66,587.06/x
  3. Step 3: Cross multiply
    31,471.03x = 66,587.06 × 66,587.06
  4. Step 4: Simplify right side
    31,471.03x = 4,433,836,892.38
  5. Step 5: Solve for x
    x = 4,433,836,892.38/31,471.03
  6. Step 6: Final answer
    x = 140,886.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.