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Finding the Third Proportional to 9,240.75 and 19,470.38

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Solution

The third proportional to 9,240.75 and 19,470.38 is: 41,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.75 : 19,470.38 = 19,470.38 : x
  2. Step 2: Convert to fraction form
    9,240.75/19,470.38 = 19,470.38/x
  3. Step 3: Cross multiply
    9,240.75x = 19,470.38 × 19,470.38
  4. Step 4: Simplify right side
    9,240.75x = 379,095,502.64
  5. Step 5: Solve for x
    x = 379,095,502.64/9,240.75
  6. Step 6: Final answer
    x = 41,024.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.