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Finding the Third Proportional to 4,948 and 5,732

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Solution

The third proportional to 4,948 and 5,732 is: 6,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948 : 5,732 = 5,732 : x
  2. Step 2: Convert to fraction form
    4,948/5,732 = 5,732/x
  3. Step 3: Cross multiply
    4,948x = 5,732 × 5,732
  4. Step 4: Simplify right side
    4,948x = 32,855,824
  5. Step 5: Solve for x
    x = 32,855,824/4,948
  6. Step 6: Final answer
    x = 6,640.22

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.