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Finding the Third Proportional to 32,924 and 47,048

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Solution

The third proportional to 32,924 and 47,048 is: 67,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924 : 47,048 = 47,048 : x
  2. Step 2: Convert to fraction form
    32,924/47,048 = 47,048/x
  3. Step 3: Cross multiply
    32,924x = 47,048 × 47,048
  4. Step 4: Simplify right side
    32,924x = 2,213,514,304
  5. Step 5: Solve for x
    x = 2,213,514,304/32,924
  6. Step 6: Final answer
    x = 67,231.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.