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Finding the Third Proportional to 8,437.88 and 19,534.13

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Solution

The third proportional to 8,437.88 and 19,534.13 is: 45,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.88 : 19,534.13 = 19,534.13 : x
  2. Step 2: Convert to fraction form
    8,437.88/19,534.13 = 19,534.13/x
  3. Step 3: Cross multiply
    8,437.88x = 19,534.13 × 19,534.13
  4. Step 4: Simplify right side
    8,437.88x = 381,582,039.52
  5. Step 5: Solve for x
    x = 381,582,039.52/8,437.88
  6. Step 6: Final answer
    x = 45,222.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.