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Finding the Third Proportional to 12,928.18 and 27,897.06

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Solution

The third proportional to 12,928.18 and 27,897.06 is: 60,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.18 : 27,897.06 = 27,897.06 : x
  2. Step 2: Convert to fraction form
    12,928.18/27,897.06 = 27,897.06/x
  3. Step 3: Cross multiply
    12,928.18x = 27,897.06 × 27,897.06
  4. Step 4: Simplify right side
    12,928.18x = 778,246,205.10
  5. Step 5: Solve for x
    x = 778,246,205.10/12,928.18
  6. Step 6: Final answer
    x = 60,197.66

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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.