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Finding the Third Proportional to 12,495.75 and 27,178.50

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Solution

The third proportional to 12,495.75 and 27,178.50 is: 59,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.75 : 27,178.50 = 27,178.50 : x
  2. Step 2: Convert to fraction form
    12,495.75/27,178.50 = 27,178.50/x
  3. Step 3: Cross multiply
    12,495.75x = 27,178.50 × 27,178.50
  4. Step 4: Simplify right side
    12,495.75x = 738,670,862.25
  5. Step 5: Solve for x
    x = 738,670,862.25/12,495.75
  6. Step 6: Final answer
    x = 59,113.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.