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Finding the Third Proportional to 26,039 and 40,382

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Solution

The third proportional to 26,039 and 40,382 is: 62,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,039 : 40,382 = 40,382 : x
  2. Step 2: Convert to fraction form
    26,039/40,382 = 40,382/x
  3. Step 3: Cross multiply
    26,039x = 40,382 × 40,382
  4. Step 4: Simplify right side
    26,039x = 1,630,705,924
  5. Step 5: Solve for x
    x = 1,630,705,924/26,039
  6. Step 6: Final answer
    x = 62,625.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.