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Finding the Third Proportional to 16,438 and 25,752

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Solution

The third proportional to 16,438 and 25,752 is: 40,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438 : 25,752 = 25,752 : x
  2. Step 2: Convert to fraction form
    16,438/25,752 = 25,752/x
  3. Step 3: Cross multiply
    16,438x = 25,752 × 25,752
  4. Step 4: Simplify right side
    16,438x = 663,165,504
  5. Step 5: Solve for x
    x = 663,165,504/16,438
  6. Step 6: Final answer
    x = 40,343.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.