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Finding the Third Proportional to 31,114.13 and 46,671.19

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Solution

The third proportional to 31,114.13 and 46,671.19 is: 70,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.13 : 46,671.19 = 46,671.19 : x
  2. Step 2: Convert to fraction form
    31,114.13/46,671.19 = 46,671.19/x
  3. Step 3: Cross multiply
    31,114.13x = 46,671.19 × 46,671.19
  4. Step 4: Simplify right side
    31,114.13x = 2,178,199,742.66
  5. Step 5: Solve for x
    x = 2,178,199,742.66/31,114.13
  6. Step 6: Final answer
    x = 70,006.78

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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.