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Finding the Third Proportional to 12,947.81 and 28,202.06

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Solution

The third proportional to 12,947.81 and 28,202.06 is: 61,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.81 : 28,202.06 = 28,202.06 : x
  2. Step 2: Convert to fraction form
    12,947.81/28,202.06 = 28,202.06/x
  3. Step 3: Cross multiply
    12,947.81x = 28,202.06 × 28,202.06
  4. Step 4: Simplify right side
    12,947.81x = 795,356,329.25
  5. Step 5: Solve for x
    x = 795,356,329.25/12,947.81
  6. Step 6: Final answer
    x = 61,427.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.