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Finding the Third Proportional to 26,254 and 38,969

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Solution

The third proportional to 26,254 and 38,969 is: 57,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,254 : 38,969 = 38,969 : x
  2. Step 2: Convert to fraction form
    26,254/38,969 = 38,969/x
  3. Step 3: Cross multiply
    26,254x = 38,969 × 38,969
  4. Step 4: Simplify right side
    26,254x = 1,518,582,961
  5. Step 5: Solve for x
    x = 1,518,582,961/26,254
  6. Step 6: Final answer
    x = 57,841.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.