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Finding the Third Proportional to 22,184.50 and 48,256.75

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Solution

The third proportional to 22,184.50 and 48,256.75 is: 104,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.50 : 48,256.75 = 48,256.75 : x
  2. Step 2: Convert to fraction form
    22,184.50/48,256.75 = 48,256.75/x
  3. Step 3: Cross multiply
    22,184.50x = 48,256.75 × 48,256.75
  4. Step 4: Simplify right side
    22,184.50x = 2,328,713,920.56
  5. Step 5: Solve for x
    x = 2,328,713,920.56/22,184.50
  6. Step 6: Final answer
    x = 104,970.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.