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Finding the Third Proportional to 47,263.50 and 52,412.06

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Solution

The third proportional to 47,263.50 and 52,412.06 is: 58,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,263.50 : 52,412.06 = 52,412.06 : x
  2. Step 2: Convert to fraction form
    47,263.50/52,412.06 = 52,412.06/x
  3. Step 3: Cross multiply
    47,263.50x = 52,412.06 × 52,412.06
  4. Step 4: Simplify right side
    47,263.50x = 2,747,024,295.50
  5. Step 5: Solve for x
    x = 2,747,024,295.50/47,263.50
  6. Step 6: Final answer
    x = 58,121.47

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.