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Finding the Third Proportional to 15,874 and 34,420

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Solution

The third proportional to 15,874 and 34,420 is: 74,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874 : 34,420 = 34,420 : x
  2. Step 2: Convert to fraction form
    15,874/34,420 = 34,420/x
  3. Step 3: Cross multiply
    15,874x = 34,420 × 34,420
  4. Step 4: Simplify right side
    15,874x = 1,184,736,400
  5. Step 5: Solve for x
    x = 1,184,736,400/15,874
  6. Step 6: Final answer
    x = 74,633.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.