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Finding the Third Proportional to 5,850.50 and 12,637.50

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Solution

The third proportional to 5,850.50 and 12,637.50 is: 27,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.50 : 12,637.50 = 12,637.50 : x
  2. Step 2: Convert to fraction form
    5,850.50/12,637.50 = 12,637.50/x
  3. Step 3: Cross multiply
    5,850.50x = 12,637.50 × 12,637.50
  4. Step 4: Simplify right side
    5,850.50x = 159,706,406.25
  5. Step 5: Solve for x
    x = 159,706,406.25/5,850.50
  6. Step 6: Final answer
    x = 27,297.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.