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Finding the Third Proportional to 12,946.08 and 27,934.88

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Solution

The third proportional to 12,946.08 and 27,934.88 is: 60,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.08 : 27,934.88 = 27,934.88 : x
  2. Step 2: Convert to fraction form
    12,946.08/27,934.88 = 27,934.88/x
  3. Step 3: Cross multiply
    12,946.08x = 27,934.88 × 27,934.88
  4. Step 4: Simplify right side
    12,946.08x = 780,357,241.27
  5. Step 5: Solve for x
    x = 780,357,241.27/12,946.08
  6. Step 6: Final answer
    x = 60,277.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.