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Finding the Third Proportional to 15,084 and 30,573

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Solution

The third proportional to 15,084 and 30,573 is: 61,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084 : 30,573 = 30,573 : x
  2. Step 2: Convert to fraction form
    15,084/30,573 = 30,573/x
  3. Step 3: Cross multiply
    15,084x = 30,573 × 30,573
  4. Step 4: Simplify right side
    15,084x = 934,708,329
  5. Step 5: Solve for x
    x = 934,708,329/15,084
  6. Step 6: Final answer
    x = 61,966.87

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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.