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Finding the Third Proportional to 16,462 and 36,047

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Solution

The third proportional to 16,462 and 36,047 is: 78,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 36,047 = 36,047 : x
  2. Step 2: Convert to fraction form
    16,462/36,047 = 36,047/x
  3. Step 3: Cross multiply
    16,462x = 36,047 × 36,047
  4. Step 4: Simplify right side
    16,462x = 1,299,386,209
  5. Step 5: Solve for x
    x = 1,299,386,209/16,462
  6. Step 6: Final answer
    x = 78,932.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.