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Finding the Third Proportional to 15,780.94 and 34,021.69

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Solution

The third proportional to 15,780.94 and 34,021.69 is: 73,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.94 : 34,021.69 = 34,021.69 : x
  2. Step 2: Convert to fraction form
    15,780.94/34,021.69 = 34,021.69/x
  3. Step 3: Cross multiply
    15,780.94x = 34,021.69 × 34,021.69
  4. Step 4: Simplify right side
    15,780.94x = 1,157,475,220.35
  5. Step 5: Solve for x
    x = 1,157,475,220.35/15,780.94
  6. Step 6: Final answer
    x = 73,346.42

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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.