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Finding the Third Proportional to 15,754.78 and 32,970.09

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Solution

The third proportional to 15,754.78 and 32,970.09 is: 68,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.78 : 32,970.09 = 32,970.09 : x
  2. Step 2: Convert to fraction form
    15,754.78/32,970.09 = 32,970.09/x
  3. Step 3: Cross multiply
    15,754.78x = 32,970.09 × 32,970.09
  4. Step 4: Simplify right side
    15,754.78x = 1,087,027,081.88
  5. Step 5: Solve for x
    x = 1,087,027,081.88/15,754.78
  6. Step 6: Final answer
    x = 68,996.65

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.