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Finding the Third Proportional to 31,458 and 69,909

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Solution

The third proportional to 31,458 and 69,909 is: 155,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458 : 69,909 = 69,909 : x
  2. Step 2: Convert to fraction form
    31,458/69,909 = 69,909/x
  3. Step 3: Cross multiply
    31,458x = 69,909 × 69,909
  4. Step 4: Simplify right side
    31,458x = 4,887,268,281
  5. Step 5: Solve for x
    x = 4,887,268,281/31,458
  6. Step 6: Final answer
    x = 155,358.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.