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Finding the Third Proportional to 22,333.22 and 34,210.69

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Solution

The third proportional to 22,333.22 and 34,210.69 is: 52,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.22 : 34,210.69 = 34,210.69 : x
  2. Step 2: Convert to fraction form
    22,333.22/34,210.69 = 34,210.69/x
  3. Step 3: Cross multiply
    22,333.22x = 34,210.69 × 34,210.69
  4. Step 4: Simplify right side
    22,333.22x = 1,170,371,139.22
  5. Step 5: Solve for x
    x = 1,170,371,139.22/22,333.22
  6. Step 6: Final answer
    x = 52,404.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.