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Finding the Third Proportional to 12,746.72 and 27,338.67

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Solution

The third proportional to 12,746.72 and 27,338.67 is: 58,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.72 : 27,338.67 = 27,338.67 : x
  2. Step 2: Convert to fraction form
    12,746.72/27,338.67 = 27,338.67/x
  3. Step 3: Cross multiply
    12,746.72x = 27,338.67 × 27,338.67
  4. Step 4: Simplify right side
    12,746.72x = 747,402,979.89
  5. Step 5: Solve for x
    x = 747,402,979.89/12,746.72
  6. Step 6: Final answer
    x = 58,634.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.