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Finding the Third Proportional to 16,462 and 24,261

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Solution

The third proportional to 16,462 and 24,261 is: 35,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 24,261 = 24,261 : x
  2. Step 2: Convert to fraction form
    16,462/24,261 = 24,261/x
  3. Step 3: Cross multiply
    16,462x = 24,261 × 24,261
  4. Step 4: Simplify right side
    16,462x = 588,596,121
  5. Step 5: Solve for x
    x = 588,596,121/16,462
  6. Step 6: Final answer
    x = 35,754.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.