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Finding the Third Proportional to 12,659.06 and 19,652.06

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Solution

The third proportional to 12,659.06 and 19,652.06 is: 30,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.06 : 19,652.06 = 19,652.06 : x
  2. Step 2: Convert to fraction form
    12,659.06/19,652.06 = 19,652.06/x
  3. Step 3: Cross multiply
    12,659.06x = 19,652.06 × 19,652.06
  4. Step 4: Simplify right side
    12,659.06x = 386,203,560.50
  5. Step 5: Solve for x
    x = 386,203,560.50/12,659.06
  6. Step 6: Final answer
    x = 30,508.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.