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Finding the Third Proportional to 11,667.38 and 24,748.88

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Solution

The third proportional to 11,667.38 and 24,748.88 is: 52,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.38 : 24,748.88 = 24,748.88 : x
  2. Step 2: Convert to fraction form
    11,667.38/24,748.88 = 24,748.88/x
  3. Step 3: Cross multiply
    11,667.38x = 24,748.88 × 24,748.88
  4. Step 4: Simplify right side
    11,667.38x = 612,506,813.77
  5. Step 5: Solve for x
    x = 612,506,813.77/11,667.38
  6. Step 6: Final answer
    x = 52,497.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.