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Finding the Third Proportional to 4,562 and 9,852

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Solution

The third proportional to 4,562 and 9,852 is: 21,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562 : 9,852 = 9,852 : x
  2. Step 2: Convert to fraction form
    4,562/9,852 = 9,852/x
  3. Step 3: Cross multiply
    4,562x = 9,852 × 9,852
  4. Step 4: Simplify right side
    4,562x = 97,061,904
  5. Step 5: Solve for x
    x = 97,061,904/4,562
  6. Step 6: Final answer
    x = 21,276.17

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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.