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Finding the Third Proportional to 4,972 and 5,464

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Solution

The third proportional to 4,972 and 5,464 is: 6,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 5,464 = 5,464 : x
  2. Step 2: Convert to fraction form
    4,972/5,464 = 5,464/x
  3. Step 3: Cross multiply
    4,972x = 5,464 × 5,464
  4. Step 4: Simplify right side
    4,972x = 29,855,296
  5. Step 5: Solve for x
    x = 29,855,296/4,972
  6. Step 6: Final answer
    x = 6,004.69

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.