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Finding the Third Proportional to 44,742 and 62,707.50

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Solution

The third proportional to 44,742 and 62,707.50 is: 87,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,742 : 62,707.50 = 62,707.50 : x
  2. Step 2: Convert to fraction form
    44,742/62,707.50 = 62,707.50/x
  3. Step 3: Cross multiply
    44,742x = 62,707.50 × 62,707.50
  4. Step 4: Simplify right side
    44,742x = 3,932,230,556.25
  5. Step 5: Solve for x
    x = 3,932,230,556.25/44,742
  6. Step 6: Final answer
    x = 87,886.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.