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Finding the Third Proportional to 15,566 and 34,168

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Solution

The third proportional to 15,566 and 34,168 is: 75,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566 : 34,168 = 34,168 : x
  2. Step 2: Convert to fraction form
    15,566/34,168 = 34,168/x
  3. Step 3: Cross multiply
    15,566x = 34,168 × 34,168
  4. Step 4: Simplify right side
    15,566x = 1,167,452,224
  5. Step 5: Solve for x
    x = 1,167,452,224/15,566
  6. Step 6: Final answer
    x = 75,000.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.