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Finding the Third Proportional to 31,412.25 and 46,176.75

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Solution

The third proportional to 31,412.25 and 46,176.75 is: 67,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.25 : 46,176.75 = 46,176.75 : x
  2. Step 2: Convert to fraction form
    31,412.25/46,176.75 = 46,176.75/x
  3. Step 3: Cross multiply
    31,412.25x = 46,176.75 × 46,176.75
  4. Step 4: Simplify right side
    31,412.25x = 2,132,292,240.56
  5. Step 5: Solve for x
    x = 2,132,292,240.56/31,412.25
  6. Step 6: Final answer
    x = 67,880.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.