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Finding the Third Proportional to 12,296.18 and 18,805.92

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Solution

The third proportional to 12,296.18 and 18,805.92 is: 28,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.18 : 18,805.92 = 18,805.92 : x
  2. Step 2: Convert to fraction form
    12,296.18/18,805.92 = 18,805.92/x
  3. Step 3: Cross multiply
    12,296.18x = 18,805.92 × 18,805.92
  4. Step 4: Simplify right side
    12,296.18x = 353,662,697.57
  5. Step 5: Solve for x
    x = 353,662,697.57/12,296.18
  6. Step 6: Final answer
    x = 28,762.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.