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Finding the Third Proportional to 29,079 and 44,221.50

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Solution

The third proportional to 29,079 and 44,221.50 is: 67,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,079 : 44,221.50 = 44,221.50 : x
  2. Step 2: Convert to fraction form
    29,079/44,221.50 = 44,221.50/x
  3. Step 3: Cross multiply
    29,079x = 44,221.50 × 44,221.50
  4. Step 4: Simplify right side
    29,079x = 1,955,541,062.25
  5. Step 5: Solve for x
    x = 1,955,541,062.25/29,079
  6. Step 6: Final answer
    x = 67,249.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.