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Finding the Third Proportional to 12,892.50 and 20,427.75

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Solution

The third proportional to 12,892.50 and 20,427.75 is: 32,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.50 : 20,427.75 = 20,427.75 : x
  2. Step 2: Convert to fraction form
    12,892.50/20,427.75 = 20,427.75/x
  3. Step 3: Cross multiply
    12,892.50x = 20,427.75 × 20,427.75
  4. Step 4: Simplify right side
    12,892.50x = 417,292,970.06
  5. Step 5: Solve for x
    x = 417,292,970.06/12,892.50
  6. Step 6: Final answer
    x = 32,367.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.