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Finding the Third Proportional to 26,946 and 42,489

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Solution

The third proportional to 26,946 and 42,489 is: 66,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,946 : 42,489 = 42,489 : x
  2. Step 2: Convert to fraction form
    26,946/42,489 = 42,489/x
  3. Step 3: Cross multiply
    26,946x = 42,489 × 42,489
  4. Step 4: Simplify right side
    26,946x = 1,805,315,121
  5. Step 5: Solve for x
    x = 1,805,315,121/26,946
  6. Step 6: Final answer
    x = 66,997.52

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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.