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Finding the Third Proportional to 59.63 and 94.94

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Solution

The third proportional to 59.63 and 94.94 is: 151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.63 : 94.94 = 94.94 : x
  2. Step 2: Convert to fraction form
    59.63/94.94 = 94.94/x
  3. Step 3: Cross multiply
    59.63x = 94.94 × 94.94
  4. Step 4: Simplify right side
    59.63x = 9,013.13
  5. Step 5: Solve for x
    x = 9,013.13/59.63
  6. Step 6: Final answer
    x = 151.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.