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Finding the Third Proportional to 12,138.75 and 16,393.50

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Solution

The third proportional to 12,138.75 and 16,393.50 is: 22,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.75 : 16,393.50 = 16,393.50 : x
  2. Step 2: Convert to fraction form
    12,138.75/16,393.50 = 16,393.50/x
  3. Step 3: Cross multiply
    12,138.75x = 16,393.50 × 16,393.50
  4. Step 4: Simplify right side
    12,138.75x = 268,746,842.25
  5. Step 5: Solve for x
    x = 268,746,842.25/12,138.75
  6. Step 6: Final answer
    x = 22,139.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.