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Finding the Third Proportional to 46,312.75 and 71,757.13

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Solution

The third proportional to 46,312.75 and 71,757.13 is: 111,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,312.75 : 71,757.13 = 71,757.13 : x
  2. Step 2: Convert to fraction form
    46,312.75/71,757.13 = 71,757.13/x
  3. Step 3: Cross multiply
    46,312.75x = 71,757.13 × 71,757.13
  4. Step 4: Simplify right side
    46,312.75x = 5,149,084,988.27
  5. Step 5: Solve for x
    x = 5,149,084,988.27/46,312.75
  6. Step 6: Final answer
    x = 111,180.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.