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Finding the Third Proportional to 2,654.02 and 4,215.48

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Solution

The third proportional to 2,654.02 and 4,215.48 is: 6,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.02 : 4,215.48 = 4,215.48 : x
  2. Step 2: Convert to fraction form
    2,654.02/4,215.48 = 4,215.48/x
  3. Step 3: Cross multiply
    2,654.02x = 4,215.48 × 4,215.48
  4. Step 4: Simplify right side
    2,654.02x = 17,770,275.58
  5. Step 5: Solve for x
    x = 17,770,275.58/2,654.02
  6. Step 6: Final answer
    x = 6,695.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.