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Finding the Third Proportional to 13,194.72 and 20,461.52

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Solution

The third proportional to 13,194.72 and 20,461.52 is: 31,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.72 : 20,461.52 = 20,461.52 : x
  2. Step 2: Convert to fraction form
    13,194.72/20,461.52 = 20,461.52/x
  3. Step 3: Cross multiply
    13,194.72x = 20,461.52 × 20,461.52
  4. Step 4: Simplify right side
    13,194.72x = 418,673,701.60
  5. Step 5: Solve for x
    x = 418,673,701.60/13,194.72
  6. Step 6: Final answer
    x = 31,730.40

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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.