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Finding the Third Proportional to 12,176.06 and 26,202.56

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Solution

The third proportional to 12,176.06 and 26,202.56 is: 56,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.06 : 26,202.56 = 26,202.56 : x
  2. Step 2: Convert to fraction form
    12,176.06/26,202.56 = 26,202.56/x
  3. Step 3: Cross multiply
    12,176.06x = 26,202.56 × 26,202.56
  4. Step 4: Simplify right side
    12,176.06x = 686,574,281.57
  5. Step 5: Solve for x
    x = 686,574,281.57/12,176.06
  6. Step 6: Final answer
    x = 56,387.22

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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.