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Finding the Third Proportional to 32,048 and 64,992

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Solution

The third proportional to 32,048 and 64,992 is: 131,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048 : 64,992 = 64,992 : x
  2. Step 2: Convert to fraction form
    32,048/64,992 = 64,992/x
  3. Step 3: Cross multiply
    32,048x = 64,992 × 64,992
  4. Step 4: Simplify right side
    32,048x = 4,223,960,064
  5. Step 5: Solve for x
    x = 4,223,960,064/32,048
  6. Step 6: Final answer
    x = 131,801.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.