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Finding the Third Proportional to 12,399.75 and 22,990.50

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Solution

The third proportional to 12,399.75 and 22,990.50 is: 42,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.75 : 22,990.50 = 22,990.50 : x
  2. Step 2: Convert to fraction form
    12,399.75/22,990.50 = 22,990.50/x
  3. Step 3: Cross multiply
    12,399.75x = 22,990.50 × 22,990.50
  4. Step 4: Simplify right side
    12,399.75x = 528,563,090.25
  5. Step 5: Solve for x
    x = 528,563,090.25/12,399.75
  6. Step 6: Final answer
    x = 42,626.92

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.