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Finding the Third Proportional to 21,757.50 and 46,741.50

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Solution

The third proportional to 21,757.50 and 46,741.50 is: 100,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.50 : 46,741.50 = 46,741.50 : x
  2. Step 2: Convert to fraction form
    21,757.50/46,741.50 = 46,741.50/x
  3. Step 3: Cross multiply
    21,757.50x = 46,741.50 × 46,741.50
  4. Step 4: Simplify right side
    21,757.50x = 2,184,767,822.25
  5. Step 5: Solve for x
    x = 2,184,767,822.25/21,757.50
  6. Step 6: Final answer
    x = 100,414.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.