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Finding the Third Proportional to 35,161.50 and 75,820.13

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Solution

The third proportional to 35,161.50 and 75,820.13 is: 163,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,161.50 : 75,820.13 = 75,820.13 : x
  2. Step 2: Convert to fraction form
    35,161.50/75,820.13 = 75,820.13/x
  3. Step 3: Cross multiply
    35,161.50x = 75,820.13 × 75,820.13
  4. Step 4: Simplify right side
    35,161.50x = 5,748,691,355.02
  5. Step 5: Solve for x
    x = 5,748,691,355.02/35,161.50
  6. Step 6: Final answer
    x = 163,493.92

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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.