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Finding the Third Proportional to 31,384 and 43,897

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Solution

The third proportional to 31,384 and 43,897 is: 61,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384 : 43,897 = 43,897 : x
  2. Step 2: Convert to fraction form
    31,384/43,897 = 43,897/x
  3. Step 3: Cross multiply
    31,384x = 43,897 × 43,897
  4. Step 4: Simplify right side
    31,384x = 1,926,946,609
  5. Step 5: Solve for x
    x = 1,926,946,609/31,384
  6. Step 6: Final answer
    x = 61,399.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.