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Finding the Third Proportional to 9,378.94 and 14,306.56

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Solution

The third proportional to 9,378.94 and 14,306.56 is: 21,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.94 : 14,306.56 = 14,306.56 : x
  2. Step 2: Convert to fraction form
    9,378.94/14,306.56 = 14,306.56/x
  3. Step 3: Cross multiply
    9,378.94x = 14,306.56 × 14,306.56
  4. Step 4: Simplify right side
    9,378.94x = 204,677,730.57
  5. Step 5: Solve for x
    x = 204,677,730.57/9,378.94
  6. Step 6: Final answer
    x = 21,823.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.