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Finding the Third Proportional to 48,410 and 76,075

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Solution

The third proportional to 48,410 and 76,075 is: 119,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410 : 76,075 = 76,075 : x
  2. Step 2: Convert to fraction form
    48,410/76,075 = 76,075/x
  3. Step 3: Cross multiply
    48,410x = 76,075 × 76,075
  4. Step 4: Simplify right side
    48,410x = 5,787,405,625
  5. Step 5: Solve for x
    x = 5,787,405,625/48,410
  6. Step 6: Final answer
    x = 119,549.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.