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Finding the Third Proportional to 10,919 and 26,001

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Solution

The third proportional to 10,919 and 26,001 is: 61,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919 : 26,001 = 26,001 : x
  2. Step 2: Convert to fraction form
    10,919/26,001 = 26,001/x
  3. Step 3: Cross multiply
    10,919x = 26,001 × 26,001
  4. Step 4: Simplify right side
    10,919x = 676,052,001
  5. Step 5: Solve for x
    x = 676,052,001/10,919
  6. Step 6: Final answer
    x = 61,915.19

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.