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Finding the Third Proportional to 12,652.14 and 20,938.82

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Solution

The third proportional to 12,652.14 and 20,938.82 is: 34,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.14 : 20,938.82 = 20,938.82 : x
  2. Step 2: Convert to fraction form
    12,652.14/20,938.82 = 20,938.82/x
  3. Step 3: Cross multiply
    12,652.14x = 20,938.82 × 20,938.82
  4. Step 4: Simplify right side
    12,652.14x = 438,434,032.49
  5. Step 5: Solve for x
    x = 438,434,032.49/12,652.14
  6. Step 6: Final answer
    x = 34,652.96

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.