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Finding the Third Proportional to 8,437.88 and 13,098.94

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Solution

The third proportional to 8,437.88 and 13,098.94 is: 20,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.88 : 13,098.94 = 13,098.94 : x
  2. Step 2: Convert to fraction form
    8,437.88/13,098.94 = 13,098.94/x
  3. Step 3: Cross multiply
    8,437.88x = 13,098.94 × 13,098.94
  4. Step 4: Simplify right side
    8,437.88x = 171,582,163.63
  5. Step 5: Solve for x
    x = 171,582,163.63/8,437.88
  6. Step 6: Final answer
    x = 20,334.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.