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Finding the Third Proportional to 4,813 and 10,342

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Solution

The third proportional to 4,813 and 10,342 is: 22,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813 : 10,342 = 10,342 : x
  2. Step 2: Convert to fraction form
    4,813/10,342 = 10,342/x
  3. Step 3: Cross multiply
    4,813x = 10,342 × 10,342
  4. Step 4: Simplify right side
    4,813x = 106,956,964
  5. Step 5: Solve for x
    x = 106,956,964/4,813
  6. Step 6: Final answer
    x = 22,222.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.