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Finding the Third Proportional to 47,913 and 73,543.50

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Solution

The third proportional to 47,913 and 73,543.50 is: 112,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,913 : 73,543.50 = 73,543.50 : x
  2. Step 2: Convert to fraction form
    47,913/73,543.50 = 73,543.50/x
  3. Step 3: Cross multiply
    47,913x = 73,543.50 × 73,543.50
  4. Step 4: Simplify right side
    47,913x = 5,408,646,392.25
  5. Step 5: Solve for x
    x = 5,408,646,392.25/47,913
  6. Step 6: Final answer
    x = 112,884.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.