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Finding the Third Proportional to 7,516.13 and 11,827.69

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Solution

The third proportional to 7,516.13 and 11,827.69 is: 18,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.13 : 11,827.69 = 11,827.69 : x
  2. Step 2: Convert to fraction form
    7,516.13/11,827.69 = 11,827.69/x
  3. Step 3: Cross multiply
    7,516.13x = 11,827.69 × 11,827.69
  4. Step 4: Simplify right side
    7,516.13x = 139,894,191.60
  5. Step 5: Solve for x
    x = 139,894,191.60/7,516.13
  6. Step 6: Final answer
    x = 18,612.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.