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Finding the Third Proportional to 22,708.13 and 35,282.81

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Solution

The third proportional to 22,708.13 and 35,282.81 is: 54,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.13 : 35,282.81 = 35,282.81 : x
  2. Step 2: Convert to fraction form
    22,708.13/35,282.81 = 35,282.81/x
  3. Step 3: Cross multiply
    22,708.13x = 35,282.81 × 35,282.81
  4. Step 4: Simplify right side
    22,708.13x = 1,244,876,857.91
  5. Step 5: Solve for x
    x = 1,244,876,857.91/22,708.13
  6. Step 6: Final answer
    x = 54,820.77

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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.