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Finding the Third Proportional to 35,482.50 and 76,963.50

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Solution

The third proportional to 35,482.50 and 76,963.50 is: 166,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482.50 : 76,963.50 = 76,963.50 : x
  2. Step 2: Convert to fraction form
    35,482.50/76,963.50 = 76,963.50/x
  3. Step 3: Cross multiply
    35,482.50x = 76,963.50 × 76,963.50
  4. Step 4: Simplify right side
    35,482.50x = 5,923,380,332.25
  5. Step 5: Solve for x
    x = 5,923,380,332.25/35,482.50
  6. Step 6: Final answer
    x = 166,938.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.