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Finding the Third Proportional to 16,342 and 24,964

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Solution

The third proportional to 16,342 and 24,964 is: 38,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342 : 24,964 = 24,964 : x
  2. Step 2: Convert to fraction form
    16,342/24,964 = 24,964/x
  3. Step 3: Cross multiply
    16,342x = 24,964 × 24,964
  4. Step 4: Simplify right side
    16,342x = 623,201,296
  5. Step 5: Solve for x
    x = 623,201,296/16,342
  6. Step 6: Final answer
    x = 38,134.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.