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Finding the Third Proportional to 12,958.31 and 27,784.69

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Solution

The third proportional to 12,958.31 and 27,784.69 is: 59,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.31 : 27,784.69 = 27,784.69 : x
  2. Step 2: Convert to fraction form
    12,958.31/27,784.69 = 27,784.69/x
  3. Step 3: Cross multiply
    12,958.31x = 27,784.69 × 27,784.69
  4. Step 4: Simplify right side
    12,958.31x = 771,988,859.47
  5. Step 5: Solve for x
    x = 771,988,859.47/12,958.31
  6. Step 6: Final answer
    x = 59,574.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.