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Finding the Third Proportional to 15,783.61 and 33,378.33

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Solution

The third proportional to 15,783.61 and 33,378.33 is: 70,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.61 : 33,378.33 = 33,378.33 : x
  2. Step 2: Convert to fraction form
    15,783.61/33,378.33 = 33,378.33/x
  3. Step 3: Cross multiply
    15,783.61x = 33,378.33 × 33,378.33
  4. Step 4: Simplify right side
    15,783.61x = 1,114,112,788.42
  5. Step 5: Solve for x
    x = 1,114,112,788.42/15,783.61
  6. Step 6: Final answer
    x = 70,586.69

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.