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Finding the Third Proportional to 12,657 and 20,335.50

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Solution

The third proportional to 12,657 and 20,335.50 is: 32,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657 : 20,335.50 = 20,335.50 : x
  2. Step 2: Convert to fraction form
    12,657/20,335.50 = 20,335.50/x
  3. Step 3: Cross multiply
    12,657x = 20,335.50 × 20,335.50
  4. Step 4: Simplify right side
    12,657x = 413,532,560.25
  5. Step 5: Solve for x
    x = 413,532,560.25/12,657
  6. Step 6: Final answer
    x = 32,672.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.