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Finding the Third Proportional to 13,117.78 and 27,986.34

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Solution

The third proportional to 13,117.78 and 27,986.34 is: 59,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.78 : 27,986.34 = 27,986.34 : x
  2. Step 2: Convert to fraction form
    13,117.78/27,986.34 = 27,986.34/x
  3. Step 3: Cross multiply
    13,117.78x = 27,986.34 × 27,986.34
  4. Step 4: Simplify right side
    13,117.78x = 783,235,436.49
  5. Step 5: Solve for x
    x = 783,235,436.49/13,117.78
  6. Step 6: Final answer
    x = 59,707.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.