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Finding the Third Proportional to 10,435 and 23,202

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Solution

The third proportional to 10,435 and 23,202 is: 51,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435 : 23,202 = 23,202 : x
  2. Step 2: Convert to fraction form
    10,435/23,202 = 23,202/x
  3. Step 3: Cross multiply
    10,435x = 23,202 × 23,202
  4. Step 4: Simplify right side
    10,435x = 538,332,804
  5. Step 5: Solve for x
    x = 538,332,804/10,435
  6. Step 6: Final answer
    x = 51,589.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.