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Finding the Third Proportional to 47,726 and 73,392

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Solution

The third proportional to 47,726 and 73,392 is: 112,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,726 : 73,392 = 73,392 : x
  2. Step 2: Convert to fraction form
    47,726/73,392 = 73,392/x
  3. Step 3: Cross multiply
    47,726x = 73,392 × 73,392
  4. Step 4: Simplify right side
    47,726x = 5,386,385,664
  5. Step 5: Solve for x
    x = 5,386,385,664/47,726
  6. Step 6: Final answer
    x = 112,860.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.