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Finding the Third Proportional to 26,184 and 35,424

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Solution

The third proportional to 26,184 and 35,424 is: 47,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,184 : 35,424 = 35,424 : x
  2. Step 2: Convert to fraction form
    26,184/35,424 = 35,424/x
  3. Step 3: Cross multiply
    26,184x = 35,424 × 35,424
  4. Step 4: Simplify right side
    26,184x = 1,254,859,776
  5. Step 5: Solve for x
    x = 1,254,859,776/26,184
  6. Step 6: Final answer
    x = 47,924.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.