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Finding the Third Proportional to 26,748 and 41,396

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Solution

The third proportional to 26,748 and 41,396 is: 64,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748 : 41,396 = 41,396 : x
  2. Step 2: Convert to fraction form
    26,748/41,396 = 41,396/x
  3. Step 3: Cross multiply
    26,748x = 41,396 × 41,396
  4. Step 4: Simplify right side
    26,748x = 1,713,628,816
  5. Step 5: Solve for x
    x = 1,713,628,816/26,748
  6. Step 6: Final answer
    x = 64,065.68

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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.