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Finding the Third Proportional to 33,570 and 47,056.50

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Solution

The third proportional to 33,570 and 47,056.50 is: 65,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570 : 47,056.50 = 47,056.50 : x
  2. Step 2: Convert to fraction form
    33,570/47,056.50 = 47,056.50/x
  3. Step 3: Cross multiply
    33,570x = 47,056.50 × 47,056.50
  4. Step 4: Simplify right side
    33,570x = 2,214,314,192.25
  5. Step 5: Solve for x
    x = 2,214,314,192.25/33,570
  6. Step 6: Final answer
    x = 65,961.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.