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Finding the Third Proportional to 35,347.50 and 76,231.13

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Solution

The third proportional to 35,347.50 and 76,231.13 is: 164,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347.50 : 76,231.13 = 76,231.13 : x
  2. Step 2: Convert to fraction form
    35,347.50/76,231.13 = 76,231.13/x
  3. Step 3: Cross multiply
    35,347.50x = 76,231.13 × 76,231.13
  4. Step 4: Simplify right side
    35,347.50x = 5,811,184,418.77
  5. Step 5: Solve for x
    x = 5,811,184,418.77/35,347.50
  6. Step 6: Final answer
    x = 164,401.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.