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Finding the Third Proportional to 447.50 and 971.63

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Solution

The third proportional to 447.50 and 971.63 is: 2,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 971.63 = 971.63 : x
  2. Step 2: Convert to fraction form
    447.50/971.63 = 971.63/x
  3. Step 3: Cross multiply
    447.50x = 971.63 × 971.63
  4. Step 4: Simplify right side
    447.50x = 944,055.14
  5. Step 5: Solve for x
    x = 944,055.14/447.50
  6. Step 6: Final answer
    x = 2,109.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.