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Finding the Third Proportional to 49,008 and 71,620.50

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Solution

The third proportional to 49,008 and 71,620.50 is: 104,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,008 : 71,620.50 = 71,620.50 : x
  2. Step 2: Convert to fraction form
    49,008/71,620.50 = 71,620.50/x
  3. Step 3: Cross multiply
    49,008x = 71,620.50 × 71,620.50
  4. Step 4: Simplify right side
    49,008x = 5,129,496,020.25
  5. Step 5: Solve for x
    x = 5,129,496,020.25/49,008
  6. Step 6: Final answer
    x = 104,666.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.