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Finding the Third Proportional to 22,050 and 35,028

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Solution

The third proportional to 22,050 and 35,028 is: 55,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050 : 35,028 = 35,028 : x
  2. Step 2: Convert to fraction form
    22,050/35,028 = 35,028/x
  3. Step 3: Cross multiply
    22,050x = 35,028 × 35,028
  4. Step 4: Simplify right side
    22,050x = 1,226,960,784
  5. Step 5: Solve for x
    x = 1,226,960,784/22,050
  6. Step 6: Final answer
    x = 55,644.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.