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Finding the Third Proportional to 29,666 and 45,919

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Solution

The third proportional to 29,666 and 45,919 is: 71,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666 : 45,919 = 45,919 : x
  2. Step 2: Convert to fraction form
    29,666/45,919 = 45,919/x
  3. Step 3: Cross multiply
    29,666x = 45,919 × 45,919
  4. Step 4: Simplify right side
    29,666x = 2,108,554,561
  5. Step 5: Solve for x
    x = 2,108,554,561/29,666
  6. Step 6: Final answer
    x = 71,076.47

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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.