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Finding the Third Proportional to 26,468 and 41,000

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Solution

The third proportional to 26,468 and 41,000 is: 63,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,468 : 41,000 = 41,000 : x
  2. Step 2: Convert to fraction form
    26,468/41,000 = 41,000/x
  3. Step 3: Cross multiply
    26,468x = 41,000 × 41,000
  4. Step 4: Simplify right side
    26,468x = 1,681,000,000
  5. Step 5: Solve for x
    x = 1,681,000,000/26,468
  6. Step 6: Final answer
    x = 63,510.65

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