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Finding the Third Proportional to 35,385.50 and 55,231.50

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Solution

The third proportional to 35,385.50 and 55,231.50 is: 86,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,385.50 : 55,231.50 = 55,231.50 : x
  2. Step 2: Convert to fraction form
    35,385.50/55,231.50 = 55,231.50/x
  3. Step 3: Cross multiply
    35,385.50x = 55,231.50 × 55,231.50
  4. Step 4: Simplify right side
    35,385.50x = 3,050,518,592.25
  5. Step 5: Solve for x
    x = 3,050,518,592.25/35,385.50
  6. Step 6: Final answer
    x = 86,208.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.