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Finding the Third Proportional to 40,690.13 and 84,493.13

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Solution

The third proportional to 40,690.13 and 84,493.13 is: 175,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,690.13 : 84,493.13 = 84,493.13 : x
  2. Step 2: Convert to fraction form
    40,690.13/84,493.13 = 84,493.13/x
  3. Step 3: Cross multiply
    40,690.13x = 84,493.13 × 84,493.13
  4. Step 4: Simplify right side
    40,690.13x = 7,139,088,172.27
  5. Step 5: Solve for x
    x = 7,139,088,172.27/40,690.13
  6. Step 6: Final answer
    x = 175,450.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.