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Finding the Third Proportional to 17,806 and 26,646

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Solution

The third proportional to 17,806 and 26,646 is: 39,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 26,646 = 26,646 : x
  2. Step 2: Convert to fraction form
    17,806/26,646 = 26,646/x
  3. Step 3: Cross multiply
    17,806x = 26,646 × 26,646
  4. Step 4: Simplify right side
    17,806x = 710,009,316
  5. Step 5: Solve for x
    x = 710,009,316/17,806
  6. Step 6: Final answer
    x = 39,874.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.