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Finding the Third Proportional to 9,624.09 and 14,295.38

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Solution

The third proportional to 9,624.09 and 14,295.38 is: 21,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.09 : 14,295.38 = 14,295.38 : x
  2. Step 2: Convert to fraction form
    9,624.09/14,295.38 = 14,295.38/x
  3. Step 3: Cross multiply
    9,624.09x = 14,295.38 × 14,295.38
  4. Step 4: Simplify right side
    9,624.09x = 204,357,746.39
  5. Step 5: Solve for x
    x = 204,357,746.39/9,624.09
  6. Step 6: Final answer
    x = 21,233.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.