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Finding the Third Proportional to 16,374 and 25,615

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Solution

The third proportional to 16,374 and 25,615 is: 40,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,374 : 25,615 = 25,615 : x
  2. Step 2: Convert to fraction form
    16,374/25,615 = 25,615/x
  3. Step 3: Cross multiply
    16,374x = 25,615 × 25,615
  4. Step 4: Simplify right side
    16,374x = 656,128,225
  5. Step 5: Solve for x
    x = 656,128,225/16,374
  6. Step 6: Final answer
    x = 40,071.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.