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Finding the Third Proportional to 4,516 and 9,772

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Solution

The third proportional to 4,516 and 9,772 is: 21,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516 : 9,772 = 9,772 : x
  2. Step 2: Convert to fraction form
    4,516/9,772 = 9,772/x
  3. Step 3: Cross multiply
    4,516x = 9,772 × 9,772
  4. Step 4: Simplify right side
    4,516x = 95,491,984
  5. Step 5: Solve for x
    x = 95,491,984/4,516
  6. Step 6: Final answer
    x = 21,145.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.