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Finding the Third Proportional to 4,807.50 and 11,127

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Solution

The third proportional to 4,807.50 and 11,127 is: 25,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.50 : 11,127 = 11,127 : x
  2. Step 2: Convert to fraction form
    4,807.50/11,127 = 11,127/x
  3. Step 3: Cross multiply
    4,807.50x = 11,127 × 11,127
  4. Step 4: Simplify right side
    4,807.50x = 123,810,129
  5. Step 5: Solve for x
    x = 123,810,129/4,807.50
  6. Step 6: Final answer
    x = 25,753.54

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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.