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Finding the Third Proportional to 22,802 and 35,025

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Solution

The third proportional to 22,802 and 35,025 is: 53,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802 : 35,025 = 35,025 : x
  2. Step 2: Convert to fraction form
    22,802/35,025 = 35,025/x
  3. Step 3: Cross multiply
    22,802x = 35,025 × 35,025
  4. Step 4: Simplify right side
    22,802x = 1,226,750,625
  5. Step 5: Solve for x
    x = 1,226,750,625/22,802
  6. Step 6: Final answer
    x = 53,800.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.