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Finding the Third Proportional to 34,864.17 and 71,566.03

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Solution

The third proportional to 34,864.17 and 71,566.03 is: 146,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864.17 : 71,566.03 = 71,566.03 : x
  2. Step 2: Convert to fraction form
    34,864.17/71,566.03 = 71,566.03/x
  3. Step 3: Cross multiply
    34,864.17x = 71,566.03 × 71,566.03
  4. Step 4: Simplify right side
    34,864.17x = 5,121,696,828.88
  5. Step 5: Solve for x
    x = 5,121,696,828.88/34,864.17
  6. Step 6: Final answer
    x = 146,904.30

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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.