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Finding the Third Proportional to 32,403.75 and 52,912.50

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Solution

The third proportional to 32,403.75 and 52,912.50 is: 86,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.75 : 52,912.50 = 52,912.50 : x
  2. Step 2: Convert to fraction form
    32,403.75/52,912.50 = 52,912.50/x
  3. Step 3: Cross multiply
    32,403.75x = 52,912.50 × 52,912.50
  4. Step 4: Simplify right side
    32,403.75x = 2,799,732,656.25
  5. Step 5: Solve for x
    x = 2,799,732,656.25/32,403.75
  6. Step 6: Final answer
    x = 86,401.50

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.