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Finding the Third Proportional to 2,638.18 and 4,887.11

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Solution

The third proportional to 2,638.18 and 4,887.11 is: 9,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.18 : 4,887.11 = 4,887.11 : x
  2. Step 2: Convert to fraction form
    2,638.18/4,887.11 = 4,887.11/x
  3. Step 3: Cross multiply
    2,638.18x = 4,887.11 × 4,887.11
  4. Step 4: Simplify right side
    2,638.18x = 23,883,864.29
  5. Step 5: Solve for x
    x = 23,883,864.29/2,638.18
  6. Step 6: Final answer
    x = 9,053.17

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.