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Finding the Third Proportional to 20,018.25 and 46,337.25

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Solution

The third proportional to 20,018.25 and 46,337.25 is: 107,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018.25 : 46,337.25 = 46,337.25 : x
  2. Step 2: Convert to fraction form
    20,018.25/46,337.25 = 46,337.25/x
  3. Step 3: Cross multiply
    20,018.25x = 46,337.25 × 46,337.25
  4. Step 4: Simplify right side
    20,018.25x = 2,147,140,737.56
  5. Step 5: Solve for x
    x = 2,147,140,737.56/20,018.25
  6. Step 6: Final answer
    x = 107,259.16

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.