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Finding the Third Proportional to 44,617 and 71,749.50

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Solution

The third proportional to 44,617 and 71,749.50 is: 115,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,617 : 71,749.50 = 71,749.50 : x
  2. Step 2: Convert to fraction form
    44,617/71,749.50 = 71,749.50/x
  3. Step 3: Cross multiply
    44,617x = 71,749.50 × 71,749.50
  4. Step 4: Simplify right side
    44,617x = 5,147,990,750.25
  5. Step 5: Solve for x
    x = 5,147,990,750.25/44,617
  6. Step 6: Final answer
    x = 115,381.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.