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Finding the Third Proportional to 31,291.31 and 61,008.19

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Solution

The third proportional to 31,291.31 and 61,008.19 is: 118,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.31 : 61,008.19 = 61,008.19 : x
  2. Step 2: Convert to fraction form
    31,291.31/61,008.19 = 61,008.19/x
  3. Step 3: Cross multiply
    31,291.31x = 61,008.19 × 61,008.19
  4. Step 4: Simplify right side
    31,291.31x = 3,721,998,942.04
  5. Step 5: Solve for x
    x = 3,721,998,942.04/31,291.31
  6. Step 6: Final answer
    x = 118,946.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.