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Finding the Third Proportional to 12,652.31 and 30,218.06

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Solution

The third proportional to 12,652.31 and 30,218.06 is: 72,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.31 : 30,218.06 = 30,218.06 : x
  2. Step 2: Convert to fraction form
    12,652.31/30,218.06 = 30,218.06/x
  3. Step 3: Cross multiply
    12,652.31x = 30,218.06 × 30,218.06
  4. Step 4: Simplify right side
    12,652.31x = 913,131,301.25
  5. Step 5: Solve for x
    x = 913,131,301.25/12,652.31
  6. Step 6: Final answer
    x = 72,171.10

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.