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Finding the Third Proportional to 21,918 and 31,013.50

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Solution

The third proportional to 21,918 and 31,013.50 is: 43,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 31,013.50 = 31,013.50 : x
  2. Step 2: Convert to fraction form
    21,918/31,013.50 = 31,013.50/x
  3. Step 3: Cross multiply
    21,918x = 31,013.50 × 31,013.50
  4. Step 4: Simplify right side
    21,918x = 961,837,182.25
  5. Step 5: Solve for x
    x = 961,837,182.25/21,918
  6. Step 6: Final answer
    x = 43,883.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.