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Finding the Third Proportional to 12,182.91 and 26,569.27

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Solution

The third proportional to 12,182.91 and 26,569.27 is: 57,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.91 : 26,569.27 = 26,569.27 : x
  2. Step 2: Convert to fraction form
    12,182.91/26,569.27 = 26,569.27/x
  3. Step 3: Cross multiply
    12,182.91x = 26,569.27 × 26,569.27
  4. Step 4: Simplify right side
    12,182.91x = 705,925,875.85
  5. Step 5: Solve for x
    x = 705,925,875.85/12,182.91
  6. Step 6: Final answer
    x = 57,943.96

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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.