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Finding the Third Proportional to 12,697.59 and 19,650.09

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Solution

The third proportional to 12,697.59 and 19,650.09 is: 30,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.59 : 19,650.09 = 19,650.09 : x
  2. Step 2: Convert to fraction form
    12,697.59/19,650.09 = 19,650.09/x
  3. Step 3: Cross multiply
    12,697.59x = 19,650.09 × 19,650.09
  4. Step 4: Simplify right side
    12,697.59x = 386,126,184.38
  5. Step 5: Solve for x
    x = 386,126,184.38/12,697.59
  6. Step 6: Final answer
    x = 30,409.40

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