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Finding the Third Proportional to 31,818 and 71,887

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Solution

The third proportional to 31,818 and 71,887 is: 162,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818 : 71,887 = 71,887 : x
  2. Step 2: Convert to fraction form
    31,818/71,887 = 71,887/x
  3. Step 3: Cross multiply
    31,818x = 71,887 × 71,887
  4. Step 4: Simplify right side
    31,818x = 5,167,740,769
  5. Step 5: Solve for x
    x = 5,167,740,769/31,818
  6. Step 6: Final answer
    x = 162,415.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.