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Finding the Third Proportional to 8,763.19 and 12,296.18

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Solution

The third proportional to 8,763.19 and 12,296.18 is: 17,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.19 : 12,296.18 = 12,296.18 : x
  2. Step 2: Convert to fraction form
    8,763.19/12,296.18 = 12,296.18/x
  3. Step 3: Cross multiply
    8,763.19x = 12,296.18 × 12,296.18
  4. Step 4: Simplify right side
    8,763.19x = 151,196,034.91
  5. Step 5: Solve for x
    x = 151,196,034.91/8,763.19
  6. Step 6: Final answer
    x = 17,253.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.