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Finding the Third Proportional to 46,919.25 and 70,783.88

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Solution

The third proportional to 46,919.25 and 70,783.88 is: 106,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,919.25 : 70,783.88 = 70,783.88 : x
  2. Step 2: Convert to fraction form
    46,919.25/70,783.88 = 70,783.88/x
  3. Step 3: Cross multiply
    46,919.25x = 70,783.88 × 70,783.88
  4. Step 4: Simplify right side
    46,919.25x = 5,010,356,960.02
  5. Step 5: Solve for x
    x = 5,010,356,960.02/46,919.25
  6. Step 6: Final answer
    x = 106,786.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.