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Finding the Third Proportional to 12,686.31 and 29,908.93

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Solution

The third proportional to 12,686.31 and 29,908.93 is: 70,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.31 : 29,908.93 = 29,908.93 : x
  2. Step 2: Convert to fraction form
    12,686.31/29,908.93 = 29,908.93/x
  3. Step 3: Cross multiply
    12,686.31x = 29,908.93 × 29,908.93
  4. Step 4: Simplify right side
    12,686.31x = 894,544,308.72
  5. Step 5: Solve for x
    x = 894,544,308.72/12,686.31
  6. Step 6: Final answer
    x = 70,512.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.