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Finding the Third Proportional to 31,465.13 and 61,336.13

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Solution

The third proportional to 31,465.13 and 61,336.13 is: 119,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.13 : 61,336.13 = 61,336.13 : x
  2. Step 2: Convert to fraction form
    31,465.13/61,336.13 = 61,336.13/x
  3. Step 3: Cross multiply
    31,465.13x = 61,336.13 × 61,336.13
  4. Step 4: Simplify right side
    31,465.13x = 3,762,120,230.02
  5. Step 5: Solve for x
    x = 3,762,120,230.02/31,465.13
  6. Step 6: Final answer
    x = 119,564.76

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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.