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Finding the Third Proportional to 19,882 and 26,798

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Solution

The third proportional to 19,882 and 26,798 is: 36,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 26,798 = 26,798 : x
  2. Step 2: Convert to fraction form
    19,882/26,798 = 26,798/x
  3. Step 3: Cross multiply
    19,882x = 26,798 × 26,798
  4. Step 4: Simplify right side
    19,882x = 718,132,804
  5. Step 5: Solve for x
    x = 718,132,804/19,882
  6. Step 6: Final answer
    x = 36,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.