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Finding the Third Proportional to 25,009.50 and 41,686.50

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Solution

The third proportional to 25,009.50 and 41,686.50 is: 69,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009.50 : 41,686.50 = 41,686.50 : x
  2. Step 2: Convert to fraction form
    25,009.50/41,686.50 = 41,686.50/x
  3. Step 3: Cross multiply
    25,009.50x = 41,686.50 × 41,686.50
  4. Step 4: Simplify right side
    25,009.50x = 1,737,764,282.25
  5. Step 5: Solve for x
    x = 1,737,764,282.25/25,009.50
  6. Step 6: Final answer
    x = 69,484.17

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.