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Finding the Third Proportional to 21,763.69 and 47,035.69

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Solution

The third proportional to 21,763.69 and 47,035.69 is: 101,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.69 : 47,035.69 = 47,035.69 : x
  2. Step 2: Convert to fraction form
    21,763.69/47,035.69 = 47,035.69/x
  3. Step 3: Cross multiply
    21,763.69x = 47,035.69 × 47,035.69
  4. Step 4: Simplify right side
    21,763.69x = 2,212,355,898.60
  5. Step 5: Solve for x
    x = 2,212,355,898.60/21,763.69
  6. Step 6: Final answer
    x = 101,653.54

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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.