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Finding the Third Proportional to 9,918 and 23,326

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Solution

The third proportional to 9,918 and 23,326 is: 54,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 23,326 = 23,326 : x
  2. Step 2: Convert to fraction form
    9,918/23,326 = 23,326/x
  3. Step 3: Cross multiply
    9,918x = 23,326 × 23,326
  4. Step 4: Simplify right side
    9,918x = 544,102,276
  5. Step 5: Solve for x
    x = 544,102,276/9,918
  6. Step 6: Final answer
    x = 54,860.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.