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Finding the Third Proportional to 42.97 and 64.36

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Solution

The third proportional to 42.97 and 64.36 is: 96.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.97 : 64.36 = 64.36 : x
  2. Step 2: Convert to fraction form
    42.97/64.36 = 64.36/x
  3. Step 3: Cross multiply
    42.97x = 64.36 × 64.36
  4. Step 4: Simplify right side
    42.97x = 4,142.13
  5. Step 5: Solve for x
    x = 4,142.13/42.97
  6. Step 6: Final answer
    x = 96.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.