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Finding the Third Proportional to 47,034 and 72,858

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Solution

The third proportional to 47,034 and 72,858 is: 112,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,034 : 72,858 = 72,858 : x
  2. Step 2: Convert to fraction form
    47,034/72,858 = 72,858/x
  3. Step 3: Cross multiply
    47,034x = 72,858 × 72,858
  4. Step 4: Simplify right side
    47,034x = 5,308,288,164
  5. Step 5: Solve for x
    x = 5,308,288,164/47,034
  6. Step 6: Final answer
    x = 112,860.66

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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.