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Finding the Third Proportional to 32,163 and 77,473.50

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Solution

The third proportional to 32,163 and 77,473.50 is: 186,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163 : 77,473.50 = 77,473.50 : x
  2. Step 2: Convert to fraction form
    32,163/77,473.50 = 77,473.50/x
  3. Step 3: Cross multiply
    32,163x = 77,473.50 × 77,473.50
  4. Step 4: Simplify right side
    32,163x = 6,002,143,202.25
  5. Step 5: Solve for x
    x = 6,002,143,202.25/32,163
  6. Step 6: Final answer
    x = 186,616.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.