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Finding the Third Proportional to 15,927.75 and 22,282.88

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Solution

The third proportional to 15,927.75 and 22,282.88 is: 31,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.75 : 22,282.88 = 22,282.88 : x
  2. Step 2: Convert to fraction form
    15,927.75/22,282.88 = 22,282.88/x
  3. Step 3: Cross multiply
    15,927.75x = 22,282.88 × 22,282.88
  4. Step 4: Simplify right side
    15,927.75x = 496,526,518.27
  5. Step 5: Solve for x
    x = 496,526,518.27/15,927.75
  6. Step 6: Final answer
    x = 31,173.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.