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Finding the Third Proportional to 2,296.25 and 4,957

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Solution

The third proportional to 2,296.25 and 4,957 is: 10,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.25 : 4,957 = 4,957 : x
  2. Step 2: Convert to fraction form
    2,296.25/4,957 = 4,957/x
  3. Step 3: Cross multiply
    2,296.25x = 4,957 × 4,957
  4. Step 4: Simplify right side
    2,296.25x = 24,571,849
  5. Step 5: Solve for x
    x = 24,571,849/2,296.25
  6. Step 6: Final answer
    x = 10,700.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.