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Finding the Third Proportional to 12,877.10 and 27,696.30

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Solution

The third proportional to 12,877.10 and 27,696.30 is: 59,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.10 : 27,696.30 = 27,696.30 : x
  2. Step 2: Convert to fraction form
    12,877.10/27,696.30 = 27,696.30/x
  3. Step 3: Cross multiply
    12,877.10x = 27,696.30 × 27,696.30
  4. Step 4: Simplify right side
    12,877.10x = 767,085,293.34
  5. Step 5: Solve for x
    x = 767,085,293.34/12,877.10
  6. Step 6: Final answer
    x = 59,569.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.