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Finding the Third Proportional to 32,822 and 46,446

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Solution

The third proportional to 32,822 and 46,446 is: 65,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822 : 46,446 = 46,446 : x
  2. Step 2: Convert to fraction form
    32,822/46,446 = 46,446/x
  3. Step 3: Cross multiply
    32,822x = 46,446 × 46,446
  4. Step 4: Simplify right side
    32,822x = 2,157,230,916
  5. Step 5: Solve for x
    x = 2,157,230,916/32,822
  6. Step 6: Final answer
    x = 65,725.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.