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Finding the Third Proportional to 34,695.56 and 75,654.56

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Solution

The third proportional to 34,695.56 and 75,654.56 is: 164,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.56 : 75,654.56 = 75,654.56 : x
  2. Step 2: Convert to fraction form
    34,695.56/75,654.56 = 75,654.56/x
  3. Step 3: Cross multiply
    34,695.56x = 75,654.56 × 75,654.56
  4. Step 4: Simplify right side
    34,695.56x = 5,723,612,827.07
  5. Step 5: Solve for x
    x = 5,723,612,827.07/34,695.56
  6. Step 6: Final answer
    x = 164,966.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.