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Finding the Third Proportional to 7,005 and 15,073

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Solution

The third proportional to 7,005 and 15,073 is: 32,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005 : 15,073 = 15,073 : x
  2. Step 2: Convert to fraction form
    7,005/15,073 = 15,073/x
  3. Step 3: Cross multiply
    7,005x = 15,073 × 15,073
  4. Step 4: Simplify right side
    7,005x = 227,195,329
  5. Step 5: Solve for x
    x = 227,195,329/7,005
  6. Step 6: Final answer
    x = 32,433.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.