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Finding the Third Proportional to 19,948 and 25,882

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Solution

The third proportional to 19,948 and 25,882 is: 33,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,948 : 25,882 = 25,882 : x
  2. Step 2: Convert to fraction form
    19,948/25,882 = 25,882/x
  3. Step 3: Cross multiply
    19,948x = 25,882 × 25,882
  4. Step 4: Simplify right side
    19,948x = 669,877,924
  5. Step 5: Solve for x
    x = 669,877,924/19,948
  6. Step 6: Final answer
    x = 33,581.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.