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Finding the Third Proportional to 13,752 and 28,233

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Solution

The third proportional to 13,752 and 28,233 is: 57,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752 : 28,233 = 28,233 : x
  2. Step 2: Convert to fraction form
    13,752/28,233 = 28,233/x
  3. Step 3: Cross multiply
    13,752x = 28,233 × 28,233
  4. Step 4: Simplify right side
    13,752x = 797,102,289
  5. Step 5: Solve for x
    x = 797,102,289/13,752
  6. Step 6: Final answer
    x = 57,962.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.