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Finding the Third Proportional to 45,713.25 and 60,673.50

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Solution

The third proportional to 45,713.25 and 60,673.50 is: 80,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,713.25 : 60,673.50 = 60,673.50 : x
  2. Step 2: Convert to fraction form
    45,713.25/60,673.50 = 60,673.50/x
  3. Step 3: Cross multiply
    45,713.25x = 60,673.50 × 60,673.50
  4. Step 4: Simplify right side
    45,713.25x = 3,681,273,602.25
  5. Step 5: Solve for x
    x = 3,681,273,602.25/45,713.25
  6. Step 6: Final answer
    x = 80,529.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.