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Finding the Third Proportional to 12,695.91 and 29,386.97

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Solution

The third proportional to 12,695.91 and 29,386.97 is: 68,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.91 : 29,386.97 = 29,386.97 : x
  2. Step 2: Convert to fraction form
    12,695.91/29,386.97 = 29,386.97/x
  3. Step 3: Cross multiply
    12,695.91x = 29,386.97 × 29,386.97
  4. Step 4: Simplify right side
    12,695.91x = 863,593,932.31
  5. Step 5: Solve for x
    x = 863,593,932.31/12,695.91
  6. Step 6: Final answer
    x = 68,021.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.