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Finding the Third Proportional to 48,042 and 70,821

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Solution

The third proportional to 48,042 and 70,821 is: 104,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,042 : 70,821 = 70,821 : x
  2. Step 2: Convert to fraction form
    48,042/70,821 = 70,821/x
  3. Step 3: Cross multiply
    48,042x = 70,821 × 70,821
  4. Step 4: Simplify right side
    48,042x = 5,015,614,041
  5. Step 5: Solve for x
    x = 5,015,614,041/48,042
  6. Step 6: Final answer
    x = 104,400.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.