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Finding the Third Proportional to 26,768 and 42,420

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Solution

The third proportional to 26,768 and 42,420 is: 67,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,768 : 42,420 = 42,420 : x
  2. Step 2: Convert to fraction form
    26,768/42,420 = 42,420/x
  3. Step 3: Cross multiply
    26,768x = 42,420 × 42,420
  4. Step 4: Simplify right side
    26,768x = 1,799,456,400
  5. Step 5: Solve for x
    x = 1,799,456,400/26,768
  6. Step 6: Final answer
    x = 67,224.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.