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Finding the Third Proportional to 29,306 and 45,939

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Solution

The third proportional to 29,306 and 45,939 is: 72,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,306 : 45,939 = 45,939 : x
  2. Step 2: Convert to fraction form
    29,306/45,939 = 45,939/x
  3. Step 3: Cross multiply
    29,306x = 45,939 × 45,939
  4. Step 4: Simplify right side
    29,306x = 2,110,391,721
  5. Step 5: Solve for x
    x = 2,110,391,721/29,306
  6. Step 6: Final answer
    x = 72,012.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.