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Finding the Third Proportional to 26,182 and 38,904

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Solution

The third proportional to 26,182 and 38,904 is: 57,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182 : 38,904 = 38,904 : x
  2. Step 2: Convert to fraction form
    26,182/38,904 = 38,904/x
  3. Step 3: Cross multiply
    26,182x = 38,904 × 38,904
  4. Step 4: Simplify right side
    26,182x = 1,513,521,216
  5. Step 5: Solve for x
    x = 1,513,521,216/26,182
  6. Step 6: Final answer
    x = 57,807.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.