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Finding the Third Proportional to 31,142 and 44,769

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Solution

The third proportional to 31,142 and 44,769 is: 64,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142 : 44,769 = 44,769 : x
  2. Step 2: Convert to fraction form
    31,142/44,769 = 44,769/x
  3. Step 3: Cross multiply
    31,142x = 44,769 × 44,769
  4. Step 4: Simplify right side
    31,142x = 2,004,263,361
  5. Step 5: Solve for x
    x = 2,004,263,361/31,142
  6. Step 6: Final answer
    x = 64,358.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.