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Finding the Third Proportional to 48.63 and 100.53

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Solution

The third proportional to 48.63 and 100.53 is: 207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.63 : 100.53 = 100.53 : x
  2. Step 2: Convert to fraction form
    48.63/100.53 = 100.53/x
  3. Step 3: Cross multiply
    48.63x = 100.53 × 100.53
  4. Step 4: Simplify right side
    48.63x = 10,106.53
  5. Step 5: Solve for x
    x = 10,106.53/48.63
  6. Step 6: Final answer
    x = 207.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.