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Finding the Third Proportional to 4,823.30 and 10,436.34

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Solution

The third proportional to 4,823.30 and 10,436.34 is: 22,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.30 : 10,436.34 = 10,436.34 : x
  2. Step 2: Convert to fraction form
    4,823.30/10,436.34 = 10,436.34/x
  3. Step 3: Cross multiply
    4,823.30x = 10,436.34 × 10,436.34
  4. Step 4: Simplify right side
    4,823.30x = 108,917,270.87
  5. Step 5: Solve for x
    x = 108,917,270.87/4,823.30
  6. Step 6: Final answer
    x = 22,581.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.