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Finding the Third Proportional to 7,810.50 and 11,131.31

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Solution

The third proportional to 7,810.50 and 11,131.31 is: 15,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.50 : 11,131.31 = 11,131.31 : x
  2. Step 2: Convert to fraction form
    7,810.50/11,131.31 = 11,131.31/x
  3. Step 3: Cross multiply
    7,810.50x = 11,131.31 × 11,131.31
  4. Step 4: Simplify right side
    7,810.50x = 123,906,117.97
  5. Step 5: Solve for x
    x = 123,906,117.97/7,810.50
  6. Step 6: Final answer
    x = 15,864.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.