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Finding the Third Proportional to 32,870 and 48,255.50

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Solution

The third proportional to 32,870 and 48,255.50 is: 70,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870 : 48,255.50 = 48,255.50 : x
  2. Step 2: Convert to fraction form
    32,870/48,255.50 = 48,255.50/x
  3. Step 3: Cross multiply
    32,870x = 48,255.50 × 48,255.50
  4. Step 4: Simplify right side
    32,870x = 2,328,593,280.25
  5. Step 5: Solve for x
    x = 2,328,593,280.25/32,870
  6. Step 6: Final answer
    x = 70,842.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.