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Finding the Third Proportional to 15,724.75 and 22,939

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Solution

The third proportional to 15,724.75 and 22,939 is: 33,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.75 : 22,939 = 22,939 : x
  2. Step 2: Convert to fraction form
    15,724.75/22,939 = 22,939/x
  3. Step 3: Cross multiply
    15,724.75x = 22,939 × 22,939
  4. Step 4: Simplify right side
    15,724.75x = 526,197,721
  5. Step 5: Solve for x
    x = 526,197,721/15,724.75
  6. Step 6: Final answer
    x = 33,463.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.