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Finding the Third Proportional to 31,084.88 and 46,887.19

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Solution

The third proportional to 31,084.88 and 46,887.19 is: 70,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.88 : 46,887.19 = 46,887.19 : x
  2. Step 2: Convert to fraction form
    31,084.88/46,887.19 = 46,887.19/x
  3. Step 3: Cross multiply
    31,084.88x = 46,887.19 × 46,887.19
  4. Step 4: Simplify right side
    31,084.88x = 2,198,408,351.66
  5. Step 5: Solve for x
    x = 2,198,408,351.66/31,084.88
  6. Step 6: Final answer
    x = 70,722.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.