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Finding the Third Proportional to 15,943.50 and 22,290.19

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Solution

The third proportional to 15,943.50 and 22,290.19 is: 31,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,943.50 : 22,290.19 = 22,290.19 : x
  2. Step 2: Convert to fraction form
    15,943.50/22,290.19 = 22,290.19/x
  3. Step 3: Cross multiply
    15,943.50x = 22,290.19 × 22,290.19
  4. Step 4: Simplify right side
    15,943.50x = 496,852,458.79
  5. Step 5: Solve for x
    x = 496,852,458.79/15,943.50
  6. Step 6: Final answer
    x = 31,163.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.