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Finding the Third Proportional to 15,728.50 and 22,944

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Solution

The third proportional to 15,728.50 and 22,944 is: 33,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.50 : 22,944 = 22,944 : x
  2. Step 2: Convert to fraction form
    15,728.50/22,944 = 22,944/x
  3. Step 3: Cross multiply
    15,728.50x = 22,944 × 22,944
  4. Step 4: Simplify right side
    15,728.50x = 526,427,136
  5. Step 5: Solve for x
    x = 526,427,136/15,728.50
  6. Step 6: Final answer
    x = 33,469.63

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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.