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Finding the Third Proportional to 29,291 and 64,414

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Solution

The third proportional to 29,291 and 64,414 is: 141,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291 : 64,414 = 64,414 : x
  2. Step 2: Convert to fraction form
    29,291/64,414 = 64,414/x
  3. Step 3: Cross multiply
    29,291x = 64,414 × 64,414
  4. Step 4: Simplify right side
    29,291x = 4,149,163,396
  5. Step 5: Solve for x
    x = 4,149,163,396/29,291
  6. Step 6: Final answer
    x = 141,653.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.