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Finding the Third Proportional to 2,862.35 and 4,553.30

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Solution

The third proportional to 2,862.35 and 4,553.30 is: 7,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.35 : 4,553.30 = 4,553.30 : x
  2. Step 2: Convert to fraction form
    2,862.35/4,553.30 = 4,553.30/x
  3. Step 3: Cross multiply
    2,862.35x = 4,553.30 × 4,553.30
  4. Step 4: Simplify right side
    2,862.35x = 20,732,512.43
  5. Step 5: Solve for x
    x = 20,732,512.43/2,862.35
  6. Step 6: Final answer
    x = 7,243.17

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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.