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Finding the Third Proportional to 10,680.19 and 26,191.69

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Solution

The third proportional to 10,680.19 and 26,191.69 is: 64,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.19 : 26,191.69 = 26,191.69 : x
  2. Step 2: Convert to fraction form
    10,680.19/26,191.69 = 26,191.69/x
  3. Step 3: Cross multiply
    10,680.19x = 26,191.69 × 26,191.69
  4. Step 4: Simplify right side
    10,680.19x = 686,004,494.10
  5. Step 5: Solve for x
    x = 686,004,494.10/10,680.19
  6. Step 6: Final answer
    x = 64,231.50

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.