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Finding the Third Proportional to 5,866.17 and 12,654.98

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Solution

The third proportional to 5,866.17 and 12,654.98 is: 27,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.17 : 12,654.98 = 12,654.98 : x
  2. Step 2: Convert to fraction form
    5,866.17/12,654.98 = 12,654.98/x
  3. Step 3: Cross multiply
    5,866.17x = 12,654.98 × 12,654.98
  4. Step 4: Simplify right side
    5,866.17x = 160,148,629.53
  5. Step 5: Solve for x
    x = 160,148,629.53/5,866.17
  6. Step 6: Final answer
    x = 27,300.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.