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Finding the Third Proportional to 41,328 and 64,032

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Solution

The third proportional to 41,328 and 64,032 is: 99,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,328 : 64,032 = 64,032 : x
  2. Step 2: Convert to fraction form
    41,328/64,032 = 64,032/x
  3. Step 3: Cross multiply
    41,328x = 64,032 × 64,032
  4. Step 4: Simplify right side
    41,328x = 4,100,097,024
  5. Step 5: Solve for x
    x = 4,100,097,024/41,328
  6. Step 6: Final answer
    x = 99,208.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.