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Finding the Third Proportional to 29,464 and 45,694

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Solution

The third proportional to 29,464 and 45,694 is: 70,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464 : 45,694 = 45,694 : x
  2. Step 2: Convert to fraction form
    29,464/45,694 = 45,694/x
  3. Step 3: Cross multiply
    29,464x = 45,694 × 45,694
  4. Step 4: Simplify right side
    29,464x = 2,087,941,636
  5. Step 5: Solve for x
    x = 2,087,941,636/29,464
  6. Step 6: Final answer
    x = 70,864.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.