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Finding the Third Proportional to 48,549 and 74,983.50

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Solution

The third proportional to 48,549 and 74,983.50 is: 115,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549 : 74,983.50 = 74,983.50 : x
  2. Step 2: Convert to fraction form
    48,549/74,983.50 = 74,983.50/x
  3. Step 3: Cross multiply
    48,549x = 74,983.50 × 74,983.50
  4. Step 4: Simplify right side
    48,549x = 5,622,525,272.25
  5. Step 5: Solve for x
    x = 5,622,525,272.25/48,549
  6. Step 6: Final answer
    x = 115,811.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.