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Finding the Third Proportional to 32,185.50 and 47,126.06

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Solution

The third proportional to 32,185.50 and 47,126.06 is: 69,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.50 : 47,126.06 = 47,126.06 : x
  2. Step 2: Convert to fraction form
    32,185.50/47,126.06 = 47,126.06/x
  3. Step 3: Cross multiply
    32,185.50x = 47,126.06 × 47,126.06
  4. Step 4: Simplify right side
    32,185.50x = 2,220,865,766.75
  5. Step 5: Solve for x
    x = 2,220,865,766.75/32,185.50
  6. Step 6: Final answer
    x = 69,002.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.