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Finding the Third Proportional to 58.94 and 77.01

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Solution

The third proportional to 58.94 and 77.01 is: 100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.94 : 77.01 = 77.01 : x
  2. Step 2: Convert to fraction form
    58.94/77.01 = 77.01/x
  3. Step 3: Cross multiply
    58.94x = 77.01 × 77.01
  4. Step 4: Simplify right side
    58.94x = 5,930.50
  5. Step 5: Solve for x
    x = 5,930.50/58.94
  6. Step 6: Final answer
    x = 100.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.