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Finding the Third Proportional to 45,387 and 69,040.50

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Solution

The third proportional to 45,387 and 69,040.50 is: 105,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,387 : 69,040.50 = 69,040.50 : x
  2. Step 2: Convert to fraction form
    45,387/69,040.50 = 69,040.50/x
  3. Step 3: Cross multiply
    45,387x = 69,040.50 × 69,040.50
  4. Step 4: Simplify right side
    45,387x = 4,766,590,640.25
  5. Step 5: Solve for x
    x = 4,766,590,640.25/45,387
  6. Step 6: Final answer
    x = 105,021.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.