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Finding the Third Proportional to 48.30 and 75.62

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Solution

The third proportional to 48.30 and 75.62 is: 118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.30 : 75.62 = 75.62 : x
  2. Step 2: Convert to fraction form
    48.30/75.62 = 75.62/x
  3. Step 3: Cross multiply
    48.30x = 75.62 × 75.62
  4. Step 4: Simplify right side
    48.30x = 5,718.55
  5. Step 5: Solve for x
    x = 5,718.55/48.30
  6. Step 6: Final answer
    x = 118.38

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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.