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Finding the Third Proportional to 29,237.84 and 47,086.95

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Solution

The third proportional to 29,237.84 and 47,086.95 is: 75,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,237.84 : 47,086.95 = 47,086.95 : x
  2. Step 2: Convert to fraction form
    29,237.84/47,086.95 = 47,086.95/x
  3. Step 3: Cross multiply
    29,237.84x = 47,086.95 × 47,086.95
  4. Step 4: Simplify right side
    29,237.84x = 2,217,180,418.86
  5. Step 5: Solve for x
    x = 2,217,180,418.86/29,237.84
  6. Step 6: Final answer
    x = 75,832.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.