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Finding the Third Proportional to 26,709 and 41,521

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Solution

The third proportional to 26,709 and 41,521 is: 64,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,709 : 41,521 = 41,521 : x
  2. Step 2: Convert to fraction form
    26,709/41,521 = 41,521/x
  3. Step 3: Cross multiply
    26,709x = 41,521 × 41,521
  4. Step 4: Simplify right side
    26,709x = 1,723,993,441
  5. Step 5: Solve for x
    x = 1,723,993,441/26,709
  6. Step 6: Final answer
    x = 64,547.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.