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Finding the Third Proportional to 31,033.13 and 46,539.56

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Solution

The third proportional to 31,033.13 and 46,539.56 is: 69,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.13 : 46,539.56 = 46,539.56 : x
  2. Step 2: Convert to fraction form
    31,033.13/46,539.56 = 46,539.56/x
  3. Step 3: Cross multiply
    31,033.13x = 46,539.56 × 46,539.56
  4. Step 4: Simplify right side
    31,033.13x = 2,165,930,877.69
  5. Step 5: Solve for x
    x = 2,165,930,877.69/31,033.13
  6. Step 6: Final answer
    x = 69,794.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.