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Finding the Third Proportional to 4,501.69 and 9,816.19

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Solution

The third proportional to 4,501.69 and 9,816.19 is: 21,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.69 : 9,816.19 = 9,816.19 : x
  2. Step 2: Convert to fraction form
    4,501.69/9,816.19 = 9,816.19/x
  3. Step 3: Cross multiply
    4,501.69x = 9,816.19 × 9,816.19
  4. Step 4: Simplify right side
    4,501.69x = 96,357,537.04
  5. Step 5: Solve for x
    x = 96,357,537.04/4,501.69
  6. Step 6: Final answer
    x = 21,404.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.