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Finding the Third Proportional to 21,780.50 and 47,710.75

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Solution

The third proportional to 21,780.50 and 47,710.75 is: 104,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.50 : 47,710.75 = 47,710.75 : x
  2. Step 2: Convert to fraction form
    21,780.50/47,710.75 = 47,710.75/x
  3. Step 3: Cross multiply
    21,780.50x = 47,710.75 × 47,710.75
  4. Step 4: Simplify right side
    21,780.50x = 2,276,315,665.56
  5. Step 5: Solve for x
    x = 2,276,315,665.56/21,780.50
  6. Step 6: Final answer
    x = 104,511.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.