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Finding the Third Proportional to 12,894.19 and 27,955.13

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Solution

The third proportional to 12,894.19 and 27,955.13 is: 60,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 27,955.13 = 27,955.13 : x
  2. Step 2: Convert to fraction form
    12,894.19/27,955.13 = 27,955.13/x
  3. Step 3: Cross multiply
    12,894.19x = 27,955.13 × 27,955.13
  4. Step 4: Simplify right side
    12,894.19x = 781,489,013.77
  5. Step 5: Solve for x
    x = 781,489,013.77/12,894.19
  6. Step 6: Final answer
    x = 60,607.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.