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Finding the Third Proportional to 4,513 and 4,906

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Solution

The third proportional to 4,513 and 4,906 is: 5,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513 : 4,906 = 4,906 : x
  2. Step 2: Convert to fraction form
    4,513/4,906 = 4,906/x
  3. Step 3: Cross multiply
    4,513x = 4,906 × 4,906
  4. Step 4: Simplify right side
    4,513x = 24,068,836
  5. Step 5: Solve for x
    x = 24,068,836/4,513
  6. Step 6: Final answer
    x = 5,333.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.