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Finding the Third Proportional to 33,571.13 and 45,432.56

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Solution

The third proportional to 33,571.13 and 45,432.56 is: 61,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571.13 : 45,432.56 = 45,432.56 : x
  2. Step 2: Convert to fraction form
    33,571.13/45,432.56 = 45,432.56/x
  3. Step 3: Cross multiply
    33,571.13x = 45,432.56 × 45,432.56
  4. Step 4: Simplify right side
    33,571.13x = 2,064,117,735.32
  5. Step 5: Solve for x
    x = 2,064,117,735.32/33,571.13
  6. Step 6: Final answer
    x = 61,484.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.