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Finding the Third Proportional to 23,533.38 and 45,884.25

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Solution

The third proportional to 23,533.38 and 45,884.25 is: 89,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.38 : 45,884.25 = 45,884.25 : x
  2. Step 2: Convert to fraction form
    23,533.38/45,884.25 = 45,884.25/x
  3. Step 3: Cross multiply
    23,533.38x = 45,884.25 × 45,884.25
  4. Step 4: Simplify right side
    23,533.38x = 2,105,364,398.06
  5. Step 5: Solve for x
    x = 2,105,364,398.06/23,533.38
  6. Step 6: Final answer
    x = 89,462.92

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.