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Finding the Third Proportional to 21,918.25 and 47,937

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Solution

The third proportional to 21,918.25 and 47,937 is: 104,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918.25 : 47,937 = 47,937 : x
  2. Step 2: Convert to fraction form
    21,918.25/47,937 = 47,937/x
  3. Step 3: Cross multiply
    21,918.25x = 47,937 × 47,937
  4. Step 4: Simplify right side
    21,918.25x = 2,297,955,969
  5. Step 5: Solve for x
    x = 2,297,955,969/21,918.25
  6. Step 6: Final answer
    x = 104,842.13

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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.