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Finding the Third Proportional to 12,688 and 20,272

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Solution

The third proportional to 12,688 and 20,272 is: 32,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688 : 20,272 = 20,272 : x
  2. Step 2: Convert to fraction form
    12,688/20,272 = 20,272/x
  3. Step 3: Cross multiply
    12,688x = 20,272 × 20,272
  4. Step 4: Simplify right side
    12,688x = 410,953,984
  5. Step 5: Solve for x
    x = 410,953,984/12,688
  6. Step 6: Final answer
    x = 32,389.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.