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Finding the Third Proportional to 5,146 and 8,491

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Solution

The third proportional to 5,146 and 8,491 is: 14,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146 : 8,491 = 8,491 : x
  2. Step 2: Convert to fraction form
    5,146/8,491 = 8,491/x
  3. Step 3: Cross multiply
    5,146x = 8,491 × 8,491
  4. Step 4: Simplify right side
    5,146x = 72,097,081
  5. Step 5: Solve for x
    x = 72,097,081/5,146
  6. Step 6: Final answer
    x = 14,010.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.