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Finding the Third Proportional to 44.58 and 59.84

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Solution

The third proportional to 44.58 and 59.84 is: 80.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.58 : 59.84 = 59.84 : x
  2. Step 2: Convert to fraction form
    44.58/59.84 = 59.84/x
  3. Step 3: Cross multiply
    44.58x = 59.84 × 59.84
  4. Step 4: Simplify right side
    44.58x = 3,580.34
  5. Step 5: Solve for x
    x = 3,580.34/44.58
  6. Step 6: Final answer
    x = 80.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.