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Finding the Third Proportional to 31,695.75 and 65,031.75

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Solution

The third proportional to 31,695.75 and 65,031.75 is: 133,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.75 : 65,031.75 = 65,031.75 : x
  2. Step 2: Convert to fraction form
    31,695.75/65,031.75 = 65,031.75/x
  3. Step 3: Cross multiply
    31,695.75x = 65,031.75 × 65,031.75
  4. Step 4: Simplify right side
    31,695.75x = 4,229,128,508.06
  5. Step 5: Solve for x
    x = 4,229,128,508.06/31,695.75
  6. Step 6: Final answer
    x = 133,428.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.