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Finding the Third Proportional to 9,991.69 and 23,069.81

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Solution

The third proportional to 9,991.69 and 23,069.81 is: 53,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.69 : 23,069.81 = 23,069.81 : x
  2. Step 2: Convert to fraction form
    9,991.69/23,069.81 = 23,069.81/x
  3. Step 3: Cross multiply
    9,991.69x = 23,069.81 × 23,069.81
  4. Step 4: Simplify right side
    9,991.69x = 532,216,248.79
  5. Step 5: Solve for x
    x = 532,216,248.79/9,991.69
  6. Step 6: Final answer
    x = 53,265.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.