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Finding the Third Proportional to 46,809.14 and 71,778.02

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Solution

The third proportional to 46,809.14 and 71,778.02 is: 110,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809.14 : 71,778.02 = 71,778.02 : x
  2. Step 2: Convert to fraction form
    46,809.14/71,778.02 = 71,778.02/x
  3. Step 3: Cross multiply
    46,809.14x = 71,778.02 × 71,778.02
  4. Step 4: Simplify right side
    46,809.14x = 5,152,084,648.59
  5. Step 5: Solve for x
    x = 5,152,084,648.59/46,809.14
  6. Step 6: Final answer
    x = 110,065.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.