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Finding the Third Proportional to 32,973 and 50,290.50

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Solution

The third proportional to 32,973 and 50,290.50 is: 76,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973 : 50,290.50 = 50,290.50 : x
  2. Step 2: Convert to fraction form
    32,973/50,290.50 = 50,290.50/x
  3. Step 3: Cross multiply
    32,973x = 50,290.50 × 50,290.50
  4. Step 4: Simplify right side
    32,973x = 2,529,134,390.25
  5. Step 5: Solve for x
    x = 2,529,134,390.25/32,973
  6. Step 6: Final answer
    x = 76,703.19

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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.