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Finding the Third Proportional to 35,166.50 and 75,832

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Solution

The third proportional to 35,166.50 and 75,832 is: 163,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,166.50 : 75,832 = 75,832 : x
  2. Step 2: Convert to fraction form
    35,166.50/75,832 = 75,832/x
  3. Step 3: Cross multiply
    35,166.50x = 75,832 × 75,832
  4. Step 4: Simplify right side
    35,166.50x = 5,750,492,224
  5. Step 5: Solve for x
    x = 5,750,492,224/35,166.50
  6. Step 6: Final answer
    x = 163,521.88

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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.