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Finding the Third Proportional to 32,941.50 and 72,444

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Solution

The third proportional to 32,941.50 and 72,444 is: 159,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.50 : 72,444 = 72,444 : x
  2. Step 2: Convert to fraction form
    32,941.50/72,444 = 72,444/x
  3. Step 3: Cross multiply
    32,941.50x = 72,444 × 72,444
  4. Step 4: Simplify right side
    32,941.50x = 5,248,133,136
  5. Step 5: Solve for x
    x = 5,248,133,136/32,941.50
  6. Step 6: Final answer
    x = 159,316.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.