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Finding the Third Proportional to 4,512.33 and 9,896.53

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Solution

The third proportional to 4,512.33 and 9,896.53 is: 21,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.33 : 9,896.53 = 9,896.53 : x
  2. Step 2: Convert to fraction form
    4,512.33/9,896.53 = 9,896.53/x
  3. Step 3: Cross multiply
    4,512.33x = 9,896.53 × 9,896.53
  4. Step 4: Simplify right side
    4,512.33x = 97,941,330.78
  5. Step 5: Solve for x
    x = 97,941,330.78/4,512.33
  6. Step 6: Final answer
    x = 21,705.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.