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Finding the Third Proportional to 36,942.50 and 72,038.50

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Solution

The third proportional to 36,942.50 and 72,038.50 is: 140,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,942.50 : 72,038.50 = 72,038.50 : x
  2. Step 2: Convert to fraction form
    36,942.50/72,038.50 = 72,038.50/x
  3. Step 3: Cross multiply
    36,942.50x = 72,038.50 × 72,038.50
  4. Step 4: Simplify right side
    36,942.50x = 5,189,545,482.25
  5. Step 5: Solve for x
    x = 5,189,545,482.25/36,942.50
  6. Step 6: Final answer
    x = 140,476.29

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.