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Finding the Third Proportional to 4,875.75 and 11,301.75

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Solution

The third proportional to 4,875.75 and 11,301.75 is: 26,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.75 : 11,301.75 = 11,301.75 : x
  2. Step 2: Convert to fraction form
    4,875.75/11,301.75 = 11,301.75/x
  3. Step 3: Cross multiply
    4,875.75x = 11,301.75 × 11,301.75
  4. Step 4: Simplify right side
    4,875.75x = 127,729,553.06
  5. Step 5: Solve for x
    x = 127,729,553.06/4,875.75
  6. Step 6: Final answer
    x = 26,196.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.