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Finding the Third Proportional to 4,532 and 8,024

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Solution

The third proportional to 4,532 and 8,024 is: 14,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532 : 8,024 = 8,024 : x
  2. Step 2: Convert to fraction form
    4,532/8,024 = 8,024/x
  3. Step 3: Cross multiply
    4,532x = 8,024 × 8,024
  4. Step 4: Simplify right side
    4,532x = 64,384,576
  5. Step 5: Solve for x
    x = 64,384,576/4,532
  6. Step 6: Final answer
    x = 14,206.66

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.