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Finding the Third Proportional to 41,973 and 65,512.50

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Solution

The third proportional to 41,973 and 65,512.50 is: 102,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,973 : 65,512.50 = 65,512.50 : x
  2. Step 2: Convert to fraction form
    41,973/65,512.50 = 65,512.50/x
  3. Step 3: Cross multiply
    41,973x = 65,512.50 × 65,512.50
  4. Step 4: Simplify right side
    41,973x = 4,291,887,656.25
  5. Step 5: Solve for x
    x = 4,291,887,656.25/41,973
  6. Step 6: Final answer
    x = 102,253.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.