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Finding the Third Proportional to 32,191.75 and 48,946.25

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Solution

The third proportional to 32,191.75 and 48,946.25 is: 74,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.75 : 48,946.25 = 48,946.25 : x
  2. Step 2: Convert to fraction form
    32,191.75/48,946.25 = 48,946.25/x
  3. Step 3: Cross multiply
    32,191.75x = 48,946.25 × 48,946.25
  4. Step 4: Simplify right side
    32,191.75x = 2,395,735,389.06
  5. Step 5: Solve for x
    x = 2,395,735,389.06/32,191.75
  6. Step 6: Final answer
    x = 74,420.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.