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Finding the Third Proportional to 10,277.19 and 18,273.41

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Solution

The third proportional to 10,277.19 and 18,273.41 is: 32,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.19 : 18,273.41 = 18,273.41 : x
  2. Step 2: Convert to fraction form
    10,277.19/18,273.41 = 18,273.41/x
  3. Step 3: Cross multiply
    10,277.19x = 18,273.41 × 18,273.41
  4. Step 4: Simplify right side
    10,277.19x = 333,917,518.74
  5. Step 5: Solve for x
    x = 333,917,518.74/10,277.19
  6. Step 6: Final answer
    x = 32,491.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.