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Finding the Third Proportional to 45,848.25 and 72,947.25

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Solution

The third proportional to 45,848.25 and 72,947.25 is: 116,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,848.25 : 72,947.25 = 72,947.25 : x
  2. Step 2: Convert to fraction form
    45,848.25/72,947.25 = 72,947.25/x
  3. Step 3: Cross multiply
    45,848.25x = 72,947.25 × 72,947.25
  4. Step 4: Simplify right side
    45,848.25x = 5,321,301,282.56
  5. Step 5: Solve for x
    x = 5,321,301,282.56/45,848.25
  6. Step 6: Final answer
    x = 116,063.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.