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Finding the Third Proportional to 38,945 and 61,012.50

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Solution

The third proportional to 38,945 and 61,012.50 is: 95,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,945 : 61,012.50 = 61,012.50 : x
  2. Step 2: Convert to fraction form
    38,945/61,012.50 = 61,012.50/x
  3. Step 3: Cross multiply
    38,945x = 61,012.50 × 61,012.50
  4. Step 4: Simplify right side
    38,945x = 3,722,525,156.25
  5. Step 5: Solve for x
    x = 3,722,525,156.25/38,945
  6. Step 6: Final answer
    x = 95,584.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.