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Finding the Third Proportional to 22,470.75 and 47,256.75

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Solution

The third proportional to 22,470.75 and 47,256.75 is: 99,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.75 : 47,256.75 = 47,256.75 : x
  2. Step 2: Convert to fraction form
    22,470.75/47,256.75 = 47,256.75/x
  3. Step 3: Cross multiply
    22,470.75x = 47,256.75 × 47,256.75
  4. Step 4: Simplify right side
    22,470.75x = 2,233,200,420.56
  5. Step 5: Solve for x
    x = 2,233,200,420.56/22,470.75
  6. Step 6: Final answer
    x = 99,382.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.