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Finding the Third Proportional to 15,074 and 30,574

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Solution

The third proportional to 15,074 and 30,574 is: 62,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074 : 30,574 = 30,574 : x
  2. Step 2: Convert to fraction form
    15,074/30,574 = 30,574/x
  3. Step 3: Cross multiply
    15,074x = 30,574 × 30,574
  4. Step 4: Simplify right side
    15,074x = 934,769,476
  5. Step 5: Solve for x
    x = 934,769,476/15,074
  6. Step 6: Final answer
    x = 62,012.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.