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Finding the Third Proportional to 2,557.31 and 3,751.88

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Solution

The third proportional to 2,557.31 and 3,751.88 is: 5,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.31 : 3,751.88 = 3,751.88 : x
  2. Step 2: Convert to fraction form
    2,557.31/3,751.88 = 3,751.88/x
  3. Step 3: Cross multiply
    2,557.31x = 3,751.88 × 3,751.88
  4. Step 4: Simplify right side
    2,557.31x = 14,076,566.02
  5. Step 5: Solve for x
    x = 14,076,566.02/2,557.31
  6. Step 6: Final answer
    x = 5,504.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.