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Finding the Third Proportional to 14,170.62 and 30,931.66

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Solution

The third proportional to 14,170.62 and 30,931.66 is: 67,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.62 : 30,931.66 = 30,931.66 : x
  2. Step 2: Convert to fraction form
    14,170.62/30,931.66 = 30,931.66/x
  3. Step 3: Cross multiply
    14,170.62x = 30,931.66 × 30,931.66
  4. Step 4: Simplify right side
    14,170.62x = 956,767,841.68
  5. Step 5: Solve for x
    x = 956,767,841.68/14,170.62
  6. Step 6: Final answer
    x = 67,517.70

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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.