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Finding the Third Proportional to 19,962 and 47,047.50

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Solution

The third proportional to 19,962 and 47,047.50 is: 110,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962 : 47,047.50 = 47,047.50 : x
  2. Step 2: Convert to fraction form
    19,962/47,047.50 = 47,047.50/x
  3. Step 3: Cross multiply
    19,962x = 47,047.50 × 47,047.50
  4. Step 4: Simplify right side
    19,962x = 2,213,467,256.25
  5. Step 5: Solve for x
    x = 2,213,467,256.25/19,962
  6. Step 6: Final answer
    x = 110,884.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.