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Finding the Third Proportional to 14,671.13 and 31,686.19

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Solution

The third proportional to 14,671.13 and 31,686.19 is: 68,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.13 : 31,686.19 = 31,686.19 : x
  2. Step 2: Convert to fraction form
    14,671.13/31,686.19 = 31,686.19/x
  3. Step 3: Cross multiply
    14,671.13x = 31,686.19 × 31,686.19
  4. Step 4: Simplify right side
    14,671.13x = 1,004,014,478.29
  5. Step 5: Solve for x
    x = 1,004,014,478.29/14,671.13
  6. Step 6: Final answer
    x = 68,434.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.