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Finding the Third Proportional to 39,698.50 and 56,428.50

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Solution

The third proportional to 39,698.50 and 56,428.50 is: 80,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,698.50 : 56,428.50 = 56,428.50 : x
  2. Step 2: Convert to fraction form
    39,698.50/56,428.50 = 56,428.50/x
  3. Step 3: Cross multiply
    39,698.50x = 56,428.50 × 56,428.50
  4. Step 4: Simplify right side
    39,698.50x = 3,184,175,612.25
  5. Step 5: Solve for x
    x = 3,184,175,612.25/39,698.50
  6. Step 6: Final answer
    x = 80,208.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.