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Finding the Third Proportional to 40,023.56 and 84,455.16

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Solution

The third proportional to 40,023.56 and 84,455.16 is: 178,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,023.56 : 84,455.16 = 84,455.16 : x
  2. Step 2: Convert to fraction form
    40,023.56/84,455.16 = 84,455.16/x
  3. Step 3: Cross multiply
    40,023.56x = 84,455.16 × 84,455.16
  4. Step 4: Simplify right side
    40,023.56x = 7,132,673,417.21
  5. Step 5: Solve for x
    x = 7,132,673,417.21/40,023.56
  6. Step 6: Final answer
    x = 178,211.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.