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Finding the Third Proportional to 14,377 and 31,419.38

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Solution

The third proportional to 14,377 and 31,419.38 is: 68,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377 : 31,419.38 = 31,419.38 : x
  2. Step 2: Convert to fraction form
    14,377/31,419.38 = 31,419.38/x
  3. Step 3: Cross multiply
    14,377x = 31,419.38 × 31,419.38
  4. Step 4: Simplify right side
    14,377x = 987,177,125.39
  5. Step 5: Solve for x
    x = 987,177,125.39/14,377
  6. Step 6: Final answer
    x = 68,663.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.