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Finding the Third Proportional to 5,824.41 and 9,036.56

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Solution

The third proportional to 5,824.41 and 9,036.56 is: 14,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.41 : 9,036.56 = 9,036.56 : x
  2. Step 2: Convert to fraction form
    5,824.41/9,036.56 = 9,036.56/x
  3. Step 3: Cross multiply
    5,824.41x = 9,036.56 × 9,036.56
  4. Step 4: Simplify right side
    5,824.41x = 81,659,461.82
  5. Step 5: Solve for x
    x = 81,659,461.82/5,824.41
  6. Step 6: Final answer
    x = 14,020.22

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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.