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Finding the Third Proportional to 10,091.50 and 21,747.50

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Solution

The third proportional to 10,091.50 and 21,747.50 is: 46,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.50 : 21,747.50 = 21,747.50 : x
  2. Step 2: Convert to fraction form
    10,091.50/21,747.50 = 21,747.50/x
  3. Step 3: Cross multiply
    10,091.50x = 21,747.50 × 21,747.50
  4. Step 4: Simplify right side
    10,091.50x = 472,953,756.25
  5. Step 5: Solve for x
    x = 472,953,756.25/10,091.50
  6. Step 6: Final answer
    x = 46,866.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.