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Finding the Third Proportional to 48,483 and 75,028.50

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Solution

The third proportional to 48,483 and 75,028.50 is: 116,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,483 : 75,028.50 = 75,028.50 : x
  2. Step 2: Convert to fraction form
    48,483/75,028.50 = 75,028.50/x
  3. Step 3: Cross multiply
    48,483x = 75,028.50 × 75,028.50
  4. Step 4: Simplify right side
    48,483x = 5,629,275,812.25
  5. Step 5: Solve for x
    x = 5,629,275,812.25/48,483
  6. Step 6: Final answer
    x = 116,108.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.