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Finding the Third Proportional to 5,541.19 and 8,516.81

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Solution

The third proportional to 5,541.19 and 8,516.81 is: 13,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.19 : 8,516.81 = 8,516.81 : x
  2. Step 2: Convert to fraction form
    5,541.19/8,516.81 = 8,516.81/x
  3. Step 3: Cross multiply
    5,541.19x = 8,516.81 × 8,516.81
  4. Step 4: Simplify right side
    5,541.19x = 72,536,095.16
  5. Step 5: Solve for x
    x = 72,536,095.16/5,541.19
  6. Step 6: Final answer
    x = 13,090.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.