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Finding the Third Proportional to 12,123.42 and 13,581.42

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Solution

The third proportional to 12,123.42 and 13,581.42 is: 15,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.42 : 13,581.42 = 13,581.42 : x
  2. Step 2: Convert to fraction form
    12,123.42/13,581.42 = 13,581.42/x
  3. Step 3: Cross multiply
    12,123.42x = 13,581.42 × 13,581.42
  4. Step 4: Simplify right side
    12,123.42x = 184,455,020.15
  5. Step 5: Solve for x
    x = 184,455,020.15/12,123.42
  6. Step 6: Final answer
    x = 15,214.77

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.