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Finding the Third Proportional to 15,311.53 and 22,967.30

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Solution

The third proportional to 15,311.53 and 22,967.30 is: 34,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.53 : 22,967.30 = 22,967.30 : x
  2. Step 2: Convert to fraction form
    15,311.53/22,967.30 = 22,967.30/x
  3. Step 3: Cross multiply
    15,311.53x = 22,967.30 × 22,967.30
  4. Step 4: Simplify right side
    15,311.53x = 527,496,725.74
  5. Step 5: Solve for x
    x = 527,496,725.74/15,311.53
  6. Step 6: Final answer
    x = 34,450.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.