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Finding the Third Proportional to 35,680.50 and 54,859.50

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Solution

The third proportional to 35,680.50 and 54,859.50 is: 84,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680.50 : 54,859.50 = 54,859.50 : x
  2. Step 2: Convert to fraction form
    35,680.50/54,859.50 = 54,859.50/x
  3. Step 3: Cross multiply
    35,680.50x = 54,859.50 × 54,859.50
  4. Step 4: Simplify right side
    35,680.50x = 3,009,564,740.25
  5. Step 5: Solve for x
    x = 3,009,564,740.25/35,680.50
  6. Step 6: Final answer
    x = 84,347.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.