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Finding the Third Proportional to 2,043.56 and 4,710.66

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Solution

The third proportional to 2,043.56 and 4,710.66 is: 10,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.56 : 4,710.66 = 4,710.66 : x
  2. Step 2: Convert to fraction form
    2,043.56/4,710.66 = 4,710.66/x
  3. Step 3: Cross multiply
    2,043.56x = 4,710.66 × 4,710.66
  4. Step 4: Simplify right side
    2,043.56x = 22,190,282.31
  5. Step 5: Solve for x
    x = 22,190,282.31/2,043.56
  6. Step 6: Final answer
    x = 10,858.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.