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Finding the Third Proportional to 4,727 and 5,303

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Solution

The third proportional to 4,727 and 5,303 is: 5,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727 : 5,303 = 5,303 : x
  2. Step 2: Convert to fraction form
    4,727/5,303 = 5,303/x
  3. Step 3: Cross multiply
    4,727x = 5,303 × 5,303
  4. Step 4: Simplify right side
    4,727x = 28,121,809
  5. Step 5: Solve for x
    x = 28,121,809/4,727
  6. Step 6: Final answer
    x = 5,949.19

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.