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Finding the Third Proportional to 22,125 and 34,260

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Solution

The third proportional to 22,125 and 34,260 is: 53,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,125 : 34,260 = 34,260 : x
  2. Step 2: Convert to fraction form
    22,125/34,260 = 34,260/x
  3. Step 3: Cross multiply
    22,125x = 34,260 × 34,260
  4. Step 4: Simplify right side
    22,125x = 1,173,747,600
  5. Step 5: Solve for x
    x = 1,173,747,600/22,125
  6. Step 6: Final answer
    x = 53,050.74

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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.