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Finding the Third Proportional to 35,639.13 and 82,870.00

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Solution

The third proportional to 35,639.13 and 82,870.00 is: 192,693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,639.13 : 82,870.00 = 82,870.00 : x
  2. Step 2: Convert to fraction form
    35,639.13/82,870.00 = 82,870.00/x
  3. Step 3: Cross multiply
    35,639.13x = 82,870.00 × 82,870.00
  4. Step 4: Simplify right side
    35,639.13x = 6,867,436,980.93
  5. Step 5: Solve for x
    x = 6,867,436,980.93/35,639.13
  6. Step 6: Final answer
    x = 192,693.73

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.