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Finding the Third Proportional to 9,194.63 and 12,948.19

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Solution

The third proportional to 9,194.63 and 12,948.19 is: 18,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.63 : 12,948.19 = 12,948.19 : x
  2. Step 2: Convert to fraction form
    9,194.63/12,948.19 = 12,948.19/x
  3. Step 3: Cross multiply
    9,194.63x = 12,948.19 × 12,948.19
  4. Step 4: Simplify right side
    9,194.63x = 167,655,559.54
  5. Step 5: Solve for x
    x = 167,655,559.54/9,194.63
  6. Step 6: Final answer
    x = 18,234.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.