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Finding the Third Proportional to 29,466 and 57,413

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Solution

The third proportional to 29,466 and 57,413 is: 111,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466 : 57,413 = 57,413 : x
  2. Step 2: Convert to fraction form
    29,466/57,413 = 57,413/x
  3. Step 3: Cross multiply
    29,466x = 57,413 × 57,413
  4. Step 4: Simplify right side
    29,466x = 3,296,252,569
  5. Step 5: Solve for x
    x = 3,296,252,569/29,466
  6. Step 6: Final answer
    x = 111,866.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.