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Finding the Third Proportional to 32,282 and 50,007

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Solution

The third proportional to 32,282 and 50,007 is: 77,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282 : 50,007 = 50,007 : x
  2. Step 2: Convert to fraction form
    32,282/50,007 = 50,007/x
  3. Step 3: Cross multiply
    32,282x = 50,007 × 50,007
  4. Step 4: Simplify right side
    32,282x = 2,500,700,049
  5. Step 5: Solve for x
    x = 2,500,700,049/32,282
  6. Step 6: Final answer
    x = 77,464.22

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