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Finding the Third Proportional to 24,192 and 35,424

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Solution

The third proportional to 24,192 and 35,424 is: 51,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192 : 35,424 = 35,424 : x
  2. Step 2: Convert to fraction form
    24,192/35,424 = 35,424/x
  3. Step 3: Cross multiply
    24,192x = 35,424 × 35,424
  4. Step 4: Simplify right side
    24,192x = 1,254,859,776
  5. Step 5: Solve for x
    x = 1,254,859,776/24,192
  6. Step 6: Final answer
    x = 51,870.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.