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Finding the Third Proportional to 11,962.69 and 12,934.69

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Solution

The third proportional to 11,962.69 and 12,934.69 is: 13,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.69 : 12,934.69 = 12,934.69 : x
  2. Step 2: Convert to fraction form
    11,962.69/12,934.69 = 12,934.69/x
  3. Step 3: Cross multiply
    11,962.69x = 12,934.69 × 12,934.69
  4. Step 4: Simplify right side
    11,962.69x = 167,306,140.72
  5. Step 5: Solve for x
    x = 167,306,140.72/11,962.69
  6. Step 6: Final answer
    x = 13,985.67

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.