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Finding the Third Proportional to 22,652.16 and 34,145.30

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Solution

The third proportional to 22,652.16 and 34,145.30 is: 51,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.16 : 34,145.30 = 34,145.30 : x
  2. Step 2: Convert to fraction form
    22,652.16/34,145.30 = 34,145.30/x
  3. Step 3: Cross multiply
    22,652.16x = 34,145.30 × 34,145.30
  4. Step 4: Simplify right side
    22,652.16x = 1,165,901,298.68
  5. Step 5: Solve for x
    x = 1,165,901,298.68/22,652.16
  6. Step 6: Final answer
    x = 51,469.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.