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Finding the Third Proportional to 13,688 and 28,232

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Solution

The third proportional to 13,688 and 28,232 is: 58,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688 : 28,232 = 28,232 : x
  2. Step 2: Convert to fraction form
    13,688/28,232 = 28,232/x
  3. Step 3: Cross multiply
    13,688x = 28,232 × 28,232
  4. Step 4: Simplify right side
    13,688x = 797,045,824
  5. Step 5: Solve for x
    x = 797,045,824/13,688
  6. Step 6: Final answer
    x = 58,229.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.