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Finding the Third Proportional to 47,985.75 and 104,581.13

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Solution

The third proportional to 47,985.75 and 104,581.13 is: 227,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.75 : 104,581.13 = 104,581.13 : x
  2. Step 2: Convert to fraction form
    47,985.75/104,581.13 = 104,581.13/x
  3. Step 3: Cross multiply
    47,985.75x = 104,581.13 × 104,581.13
  4. Step 4: Simplify right side
    47,985.75x = 10,937,211,706.27
  5. Step 5: Solve for x
    x = 10,937,211,706.27/47,985.75
  6. Step 6: Final answer
    x = 227,926.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.