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Finding the Third Proportional to 21,640.50 and 46,971.56

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Solution

The third proportional to 21,640.50 and 46,971.56 is: 101,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.50 : 46,971.56 = 46,971.56 : x
  2. Step 2: Convert to fraction form
    21,640.50/46,971.56 = 46,971.56/x
  3. Step 3: Cross multiply
    21,640.50x = 46,971.56 × 46,971.56
  4. Step 4: Simplify right side
    21,640.50x = 2,206,327,683.69
  5. Step 5: Solve for x
    x = 2,206,327,683.69/21,640.50
  6. Step 6: Final answer
    x = 101,953.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.