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Finding the Third Proportional to 12,878.76 and 27,458.62

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Solution

The third proportional to 12,878.76 and 27,458.62 is: 58,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.76 : 27,458.62 = 27,458.62 : x
  2. Step 2: Convert to fraction form
    12,878.76/27,458.62 = 27,458.62/x
  3. Step 3: Cross multiply
    12,878.76x = 27,458.62 × 27,458.62
  4. Step 4: Simplify right side
    12,878.76x = 753,975,926.00
  5. Step 5: Solve for x
    x = 753,975,926.00/12,878.76
  6. Step 6: Final answer
    x = 58,544.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.