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Finding the Third Proportional to 22,118.50 and 34,252

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Solution

The third proportional to 22,118.50 and 34,252 is: 53,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,118.50 : 34,252 = 34,252 : x
  2. Step 2: Convert to fraction form
    22,118.50/34,252 = 34,252/x
  3. Step 3: Cross multiply
    22,118.50x = 34,252 × 34,252
  4. Step 4: Simplify right side
    22,118.50x = 1,173,199,504
  5. Step 5: Solve for x
    x = 1,173,199,504/22,118.50
  6. Step 6: Final answer
    x = 53,041.55

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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.