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Finding the Third Proportional to 31,110 and 48,666

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Solution

The third proportional to 31,110 and 48,666 is: 76,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110 : 48,666 = 48,666 : x
  2. Step 2: Convert to fraction form
    31,110/48,666 = 48,666/x
  3. Step 3: Cross multiply
    31,110x = 48,666 × 48,666
  4. Step 4: Simplify right side
    31,110x = 2,368,379,556
  5. Step 5: Solve for x
    x = 2,368,379,556/31,110
  6. Step 6: Final answer
    x = 76,129.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.