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Finding the Third Proportional to 32,457 and 50,200.50

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Solution

The third proportional to 32,457 and 50,200.50 is: 77,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457 : 50,200.50 = 50,200.50 : x
  2. Step 2: Convert to fraction form
    32,457/50,200.50 = 50,200.50/x
  3. Step 3: Cross multiply
    32,457x = 50,200.50 × 50,200.50
  4. Step 4: Simplify right side
    32,457x = 2,520,090,200.25
  5. Step 5: Solve for x
    x = 2,520,090,200.25/32,457
  6. Step 6: Final answer
    x = 77,643.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.