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Finding the Third Proportional to 38,952 and 61,022.25

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Solution

The third proportional to 38,952 and 61,022.25 is: 95,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952 : 61,022.25 = 61,022.25 : x
  2. Step 2: Convert to fraction form
    38,952/61,022.25 = 61,022.25/x
  3. Step 3: Cross multiply
    38,952x = 61,022.25 × 61,022.25
  4. Step 4: Simplify right side
    38,952x = 3,723,714,995.06
  5. Step 5: Solve for x
    x = 3,723,714,995.06/38,952
  6. Step 6: Final answer
    x = 95,597.53

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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.