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Finding the Third Proportional to 4,653 and 10,223

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Solution

The third proportional to 4,653 and 10,223 is: 22,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653 : 10,223 = 10,223 : x
  2. Step 2: Convert to fraction form
    4,653/10,223 = 10,223/x
  3. Step 3: Cross multiply
    4,653x = 10,223 × 10,223
  4. Step 4: Simplify right side
    4,653x = 104,509,729
  5. Step 5: Solve for x
    x = 104,509,729/4,653
  6. Step 6: Final answer
    x = 22,460.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.