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Finding the Third Proportional to 4,491 and 4,971

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Solution

The third proportional to 4,491 and 4,971 is: 5,502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491 : 4,971 = 4,971 : x
  2. Step 2: Convert to fraction form
    4,491/4,971 = 4,971/x
  3. Step 3: Cross multiply
    4,491x = 4,971 × 4,971
  4. Step 4: Simplify right side
    4,491x = 24,710,841
  5. Step 5: Solve for x
    x = 24,710,841/4,491
  6. Step 6: Final answer
    x = 5,502.30

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.