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Finding the Third Proportional to 15,678.56 and 33,539.06

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Solution

The third proportional to 15,678.56 and 33,539.06 is: 71,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.56 : 33,539.06 = 33,539.06 : x
  2. Step 2: Convert to fraction form
    15,678.56/33,539.06 = 33,539.06/x
  3. Step 3: Cross multiply
    15,678.56x = 33,539.06 × 33,539.06
  4. Step 4: Simplify right side
    15,678.56x = 1,124,868,713.38
  5. Step 5: Solve for x
    x = 1,124,868,713.38/15,678.56
  6. Step 6: Final answer
    x = 71,745.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.