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Finding the Third Proportional to 947.50 and 2,186.50

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Solution

The third proportional to 947.50 and 2,186.50 is: 5,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.50 : 2,186.50 = 2,186.50 : x
  2. Step 2: Convert to fraction form
    947.50/2,186.50 = 2,186.50/x
  3. Step 3: Cross multiply
    947.50x = 2,186.50 × 2,186.50
  4. Step 4: Simplify right side
    947.50x = 4,780,782.25
  5. Step 5: Solve for x
    x = 4,780,782.25/947.50
  6. Step 6: Final answer
    x = 5,045.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.