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Finding the Third Proportional to 4,543.88 and 9,803.25

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Solution

The third proportional to 4,543.88 and 9,803.25 is: 21,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.88 : 9,803.25 = 9,803.25 : x
  2. Step 2: Convert to fraction form
    4,543.88/9,803.25 = 9,803.25/x
  3. Step 3: Cross multiply
    4,543.88x = 9,803.25 × 9,803.25
  4. Step 4: Simplify right side
    4,543.88x = 96,103,710.56
  5. Step 5: Solve for x
    x = 96,103,710.56/4,543.88
  6. Step 6: Final answer
    x = 21,150.17

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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.