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Finding the Third Proportional to 6,146 and 9,772

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Solution

The third proportional to 6,146 and 9,772 is: 15,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 9,772 = 9,772 : x
  2. Step 2: Convert to fraction form
    6,146/9,772 = 9,772/x
  3. Step 3: Cross multiply
    6,146x = 9,772 × 9,772
  4. Step 4: Simplify right side
    6,146x = 95,491,984
  5. Step 5: Solve for x
    x = 95,491,984/6,146
  6. Step 6: Final answer
    x = 15,537.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.