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Finding the Third Proportional to 12,165.72 and 26,151.10

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Solution

The third proportional to 12,165.72 and 26,151.10 is: 56,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.72 : 26,151.10 = 26,151.10 : x
  2. Step 2: Convert to fraction form
    12,165.72/26,151.10 = 26,151.10/x
  3. Step 3: Cross multiply
    12,165.72x = 26,151.10 × 26,151.10
  4. Step 4: Simplify right side
    12,165.72x = 683,879,780.94
  5. Step 5: Solve for x
    x = 683,879,780.94/12,165.72
  6. Step 6: Final answer
    x = 56,213.66

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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.