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Finding the Third Proportional to 9,759 and 21,417

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Solution

The third proportional to 9,759 and 21,417 is: 47,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 21,417 = 21,417 : x
  2. Step 2: Convert to fraction form
    9,759/21,417 = 21,417/x
  3. Step 3: Cross multiply
    9,759x = 21,417 × 21,417
  4. Step 4: Simplify right side
    9,759x = 458,687,889
  5. Step 5: Solve for x
    x = 458,687,889/9,759
  6. Step 6: Final answer
    x = 47,001.53

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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.