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Finding the Third Proportional to 29,827.41 and 64,324.97

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Solution

The third proportional to 29,827.41 and 64,324.97 is: 138,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.41 : 64,324.97 = 64,324.97 : x
  2. Step 2: Convert to fraction form
    29,827.41/64,324.97 = 64,324.97/x
  3. Step 3: Cross multiply
    29,827.41x = 64,324.97 × 64,324.97
  4. Step 4: Simplify right side
    29,827.41x = 4,137,701,604.69
  5. Step 5: Solve for x
    x = 4,137,701,604.69/29,827.41
  6. Step 6: Final answer
    x = 138,721.47

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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.