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Finding the Third Proportional to 48,205.75 and 72,023.75

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Solution

The third proportional to 48,205.75 and 72,023.75 is: 107,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205.75 : 72,023.75 = 72,023.75 : x
  2. Step 2: Convert to fraction form
    48,205.75/72,023.75 = 72,023.75/x
  3. Step 3: Cross multiply
    48,205.75x = 72,023.75 × 72,023.75
  4. Step 4: Simplify right side
    48,205.75x = 5,187,420,564.06
  5. Step 5: Solve for x
    x = 5,187,420,564.06/48,205.75
  6. Step 6: Final answer
    x = 107,610.00

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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.