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Finding the Third Proportional to 48,550.50 and 74,518

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Solution

The third proportional to 48,550.50 and 74,518 is: 114,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,550.50 : 74,518 = 74,518 : x
  2. Step 2: Convert to fraction form
    48,550.50/74,518 = 74,518/x
  3. Step 3: Cross multiply
    48,550.50x = 74,518 × 74,518
  4. Step 4: Simplify right side
    48,550.50x = 5,552,932,324
  5. Step 5: Solve for x
    x = 5,552,932,324/48,550.50
  6. Step 6: Final answer
    x = 114,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.