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Finding the Third Proportional to 17,114 and 35,572

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Solution

The third proportional to 17,114 and 35,572 is: 73,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114 : 35,572 = 35,572 : x
  2. Step 2: Convert to fraction form
    17,114/35,572 = 35,572/x
  3. Step 3: Cross multiply
    17,114x = 35,572 × 35,572
  4. Step 4: Simplify right side
    17,114x = 1,265,367,184
  5. Step 5: Solve for x
    x = 1,265,367,184/17,114
  6. Step 6: Final answer
    x = 73,937.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.