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Finding the Third Proportional to 2,125.50 and 4,541.25

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Solution

The third proportional to 2,125.50 and 4,541.25 is: 9,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.50 : 4,541.25 = 4,541.25 : x
  2. Step 2: Convert to fraction form
    2,125.50/4,541.25 = 4,541.25/x
  3. Step 3: Cross multiply
    2,125.50x = 4,541.25 × 4,541.25
  4. Step 4: Simplify right side
    2,125.50x = 20,622,951.56
  5. Step 5: Solve for x
    x = 20,622,951.56/2,125.50
  6. Step 6: Final answer
    x = 9,702.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.