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Finding the Third Proportional to 5,688 and 11,830.13

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Solution

The third proportional to 5,688 and 11,830.13 is: 24,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 11,830.13 = 11,830.13 : x
  2. Step 2: Convert to fraction form
    5,688/11,830.13 = 11,830.13/x
  3. Step 3: Cross multiply
    5,688x = 11,830.13 × 11,830.13
  4. Step 4: Simplify right side
    5,688x = 139,951,857.52
  5. Step 5: Solve for x
    x = 139,951,857.52/5,688
  6. Step 6: Final answer
    x = 24,604.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.