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Finding the Third Proportional to 18,761 and 29,707.50

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Solution

The third proportional to 18,761 and 29,707.50 is: 47,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,761 : 29,707.50 = 29,707.50 : x
  2. Step 2: Convert to fraction form
    18,761/29,707.50 = 29,707.50/x
  3. Step 3: Cross multiply
    18,761x = 29,707.50 × 29,707.50
  4. Step 4: Simplify right side
    18,761x = 882,535,556.25
  5. Step 5: Solve for x
    x = 882,535,556.25/18,761
  6. Step 6: Final answer
    x = 47,040.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.