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Finding the Third Proportional to 876.09 and 2,047.22

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Solution

The third proportional to 876.09 and 2,047.22 is: 4,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.09 : 2,047.22 = 2,047.22 : x
  2. Step 2: Convert to fraction form
    876.09/2,047.22 = 2,047.22/x
  3. Step 3: Cross multiply
    876.09x = 2,047.22 × 2,047.22
  4. Step 4: Simplify right side
    876.09x = 4,191,104.61
  5. Step 5: Solve for x
    x = 4,191,104.61/876.09
  6. Step 6: Final answer
    x = 4,783.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.