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Finding the Third Proportional to 14,314.88 and 31,170.66

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Solution

The third proportional to 14,314.88 and 31,170.66 is: 67,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.88 : 31,170.66 = 31,170.66 : x
  2. Step 2: Convert to fraction form
    14,314.88/31,170.66 = 31,170.66/x
  3. Step 3: Cross multiply
    14,314.88x = 31,170.66 × 31,170.66
  4. Step 4: Simplify right side
    14,314.88x = 971,609,811.06
  5. Step 5: Solve for x
    x = 971,609,811.06/14,314.88
  6. Step 6: Final answer
    x = 67,874.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.