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Finding the Third Proportional to 19,985 and 26,521

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Solution

The third proportional to 19,985 and 26,521 is: 35,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985 : 26,521 = 26,521 : x
  2. Step 2: Convert to fraction form
    19,985/26,521 = 26,521/x
  3. Step 3: Cross multiply
    19,985x = 26,521 × 26,521
  4. Step 4: Simplify right side
    19,985x = 703,363,441
  5. Step 5: Solve for x
    x = 703,363,441/19,985
  6. Step 6: Final answer
    x = 35,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.