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Finding the Third Proportional to 4,837.50 and 11,614.50

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Solution

The third proportional to 4,837.50 and 11,614.50 is: 27,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.50 : 11,614.50 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    4,837.50/11,614.50 = 11,614.50/x
  3. Step 3: Cross multiply
    4,837.50x = 11,614.50 × 11,614.50
  4. Step 4: Simplify right side
    4,837.50x = 134,896,610.25
  5. Step 5: Solve for x
    x = 134,896,610.25/4,837.50
  6. Step 6: Final answer
    x = 27,885.60

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.