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Finding the Third Proportional to 15,742 and 34,068

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Solution

The third proportional to 15,742 and 34,068 is: 73,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742 : 34,068 = 34,068 : x
  2. Step 2: Convert to fraction form
    15,742/34,068 = 34,068/x
  3. Step 3: Cross multiply
    15,742x = 34,068 × 34,068
  4. Step 4: Simplify right side
    15,742x = 1,160,628,624
  5. Step 5: Solve for x
    x = 1,160,628,624/15,742
  6. Step 6: Final answer
    x = 73,728.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.