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Finding the Third Proportional to 26,374 and 41,460

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Solution

The third proportional to 26,374 and 41,460 is: 65,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,374 : 41,460 = 41,460 : x
  2. Step 2: Convert to fraction form
    26,374/41,460 = 41,460/x
  3. Step 3: Cross multiply
    26,374x = 41,460 × 41,460
  4. Step 4: Simplify right side
    26,374x = 1,718,931,600
  5. Step 5: Solve for x
    x = 1,718,931,600/26,374
  6. Step 6: Final answer
    x = 65,175.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.