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Finding the Third Proportional to 4,865.25 and 7,601.25

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Solution

The third proportional to 4,865.25 and 7,601.25 is: 11,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.25 : 7,601.25 = 7,601.25 : x
  2. Step 2: Convert to fraction form
    4,865.25/7,601.25 = 7,601.25/x
  3. Step 3: Cross multiply
    4,865.25x = 7,601.25 × 7,601.25
  4. Step 4: Simplify right side
    4,865.25x = 57,779,001.56
  5. Step 5: Solve for x
    x = 57,779,001.56/4,865.25
  6. Step 6: Final answer
    x = 11,875.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.