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Finding the Third Proportional to 21,977.50 and 34,941.75

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Solution

The third proportional to 21,977.50 and 34,941.75 is: 55,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.50 : 34,941.75 = 34,941.75 : x
  2. Step 2: Convert to fraction form
    21,977.50/34,941.75 = 34,941.75/x
  3. Step 3: Cross multiply
    21,977.50x = 34,941.75 × 34,941.75
  4. Step 4: Simplify right side
    21,977.50x = 1,220,925,893.06
  5. Step 5: Solve for x
    x = 1,220,925,893.06/21,977.50
  6. Step 6: Final answer
    x = 55,553.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.