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Finding the Third Proportional to 23,280.75 and 50,252.63

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Solution

The third proportional to 23,280.75 and 50,252.63 is: 108,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,280.75 : 50,252.63 = 50,252.63 : x
  2. Step 2: Convert to fraction form
    23,280.75/50,252.63 = 50,252.63/x
  3. Step 3: Cross multiply
    23,280.75x = 50,252.63 × 50,252.63
  4. Step 4: Simplify right side
    23,280.75x = 2,525,326,319.39
  5. Step 5: Solve for x
    x = 2,525,326,319.39/23,280.75
  6. Step 6: Final answer
    x = 108,472.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.