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Finding the Third Proportional to 4,306 and 7,024

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Solution

The third proportional to 4,306 and 7,024 is: 11,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306 : 7,024 = 7,024 : x
  2. Step 2: Convert to fraction form
    4,306/7,024 = 7,024/x
  3. Step 3: Cross multiply
    4,306x = 7,024 × 7,024
  4. Step 4: Simplify right side
    4,306x = 49,336,576
  5. Step 5: Solve for x
    x = 49,336,576/4,306
  6. Step 6: Final answer
    x = 11,457.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.