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Finding the Third Proportional to 4,140.56 and 9,063.56

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Solution

The third proportional to 4,140.56 and 9,063.56 is: 19,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.56 : 9,063.56 = 9,063.56 : x
  2. Step 2: Convert to fraction form
    4,140.56/9,063.56 = 9,063.56/x
  3. Step 3: Cross multiply
    4,140.56x = 9,063.56 × 9,063.56
  4. Step 4: Simplify right side
    4,140.56x = 82,148,165.19
  5. Step 5: Solve for x
    x = 82,148,165.19/4,140.56
  6. Step 6: Final answer
    x = 19,839.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.