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Finding the Third Proportional to 6,513.47 and 10,091.81

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Solution

The third proportional to 6,513.47 and 10,091.81 is: 15,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.47 : 10,091.81 = 10,091.81 : x
  2. Step 2: Convert to fraction form
    6,513.47/10,091.81 = 10,091.81/x
  3. Step 3: Cross multiply
    6,513.47x = 10,091.81 × 10,091.81
  4. Step 4: Simplify right side
    6,513.47x = 101,844,679.54
  5. Step 5: Solve for x
    x = 101,844,679.54/6,513.47
  6. Step 6: Final answer
    x = 15,636.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.