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Finding the Third Proportional to 6,166.13 and 9,137.81

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Solution

The third proportional to 6,166.13 and 9,137.81 is: 13,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 9,137.81 = 9,137.81 : x
  2. Step 2: Convert to fraction form
    6,166.13/9,137.81 = 9,137.81/x
  3. Step 3: Cross multiply
    6,166.13x = 9,137.81 × 9,137.81
  4. Step 4: Simplify right side
    6,166.13x = 83,499,617.29
  5. Step 5: Solve for x
    x = 83,499,617.29/6,166.13
  6. Step 6: Final answer
    x = 13,541.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.