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Finding the Third Proportional to 44.02 and 64.05

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Solution

The third proportional to 44.02 and 64.05 is: 93.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.02 : 64.05 = 64.05 : x
  2. Step 2: Convert to fraction form
    44.02/64.05 = 64.05/x
  3. Step 3: Cross multiply
    44.02x = 64.05 × 64.05
  4. Step 4: Simplify right side
    44.02x = 4,103.00
  5. Step 5: Solve for x
    x = 4,103.00/44.02
  6. Step 6: Final answer
    x = 93.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.