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Finding the Third Proportional to 12,152.25 and 26,167.50

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Solution

The third proportional to 12,152.25 and 26,167.50 is: 56,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.25 : 26,167.50 = 26,167.50 : x
  2. Step 2: Convert to fraction form
    12,152.25/26,167.50 = 26,167.50/x
  3. Step 3: Cross multiply
    12,152.25x = 26,167.50 × 26,167.50
  4. Step 4: Simplify right side
    12,152.25x = 684,738,056.25
  5. Step 5: Solve for x
    x = 684,738,056.25/12,152.25
  6. Step 6: Final answer
    x = 56,346.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.