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Finding the Third Proportional to 10,522.09 and 23,022.35

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Solution

The third proportional to 10,522.09 and 23,022.35 is: 50,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.09 : 23,022.35 = 23,022.35 : x
  2. Step 2: Convert to fraction form
    10,522.09/23,022.35 = 23,022.35/x
  3. Step 3: Cross multiply
    10,522.09x = 23,022.35 × 23,022.35
  4. Step 4: Simplify right side
    10,522.09x = 530,028,671.47
  5. Step 5: Solve for x
    x = 530,028,671.47/10,522.09
  6. Step 6: Final answer
    x = 50,372.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.