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Finding the Third Proportional to 22,026 and 35,465.25

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Solution

The third proportional to 22,026 and 35,465.25 is: 57,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026 : 35,465.25 = 35,465.25 : x
  2. Step 2: Convert to fraction form
    22,026/35,465.25 = 35,465.25/x
  3. Step 3: Cross multiply
    22,026x = 35,465.25 × 35,465.25
  4. Step 4: Simplify right side
    22,026x = 1,257,783,957.56
  5. Step 5: Solve for x
    x = 1,257,783,957.56/22,026
  6. Step 6: Final answer
    x = 57,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.