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Finding the Third Proportional to 32,311.41 and 48,501.28

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Solution

The third proportional to 32,311.41 and 48,501.28 is: 72,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.41 : 48,501.28 = 48,501.28 : x
  2. Step 2: Convert to fraction form
    32,311.41/48,501.28 = 48,501.28/x
  3. Step 3: Cross multiply
    32,311.41x = 48,501.28 × 48,501.28
  4. Step 4: Simplify right side
    32,311.41x = 2,352,374,282.89
  5. Step 5: Solve for x
    x = 2,352,374,282.89/32,311.41
  6. Step 6: Final answer
    x = 72,803.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.