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Finding the Third Proportional to 42.08 and 64.86

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Solution

The third proportional to 42.08 and 64.86 is: 99.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.08 : 64.86 = 64.86 : x
  2. Step 2: Convert to fraction form
    42.08/64.86 = 64.86/x
  3. Step 3: Cross multiply
    42.08x = 64.86 × 64.86
  4. Step 4: Simplify right side
    42.08x = 4,207.25
  5. Step 5: Solve for x
    x = 4,207.25/42.08
  6. Step 6: Final answer
    x = 99.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.