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Finding the Third Proportional to 9,396 and 22,259.81

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Solution

The third proportional to 9,396 and 22,259.81 is: 52,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 22,259.81 = 22,259.81 : x
  2. Step 2: Convert to fraction form
    9,396/22,259.81 = 22,259.81/x
  3. Step 3: Cross multiply
    9,396x = 22,259.81 × 22,259.81
  4. Step 4: Simplify right side
    9,396x = 495,499,252.54
  5. Step 5: Solve for x
    x = 495,499,252.54/9,396
  6. Step 6: Final answer
    x = 52,735.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.