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Finding the Third Proportional to 31,438.13 and 59,793.19

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Solution

The third proportional to 31,438.13 and 59,793.19 is: 113,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 59,793.19 = 59,793.19 : x
  2. Step 2: Convert to fraction form
    31,438.13/59,793.19 = 59,793.19/x
  3. Step 3: Cross multiply
    31,438.13x = 59,793.19 × 59,793.19
  4. Step 4: Simplify right side
    31,438.13x = 3,575,225,271.41
  5. Step 5: Solve for x
    x = 3,575,225,271.41/31,438.13
  6. Step 6: Final answer
    x = 113,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.