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Finding the Third Proportional to 38,964 and 62,749.50

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Solution

The third proportional to 38,964 and 62,749.50 is: 101,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 62,749.50 = 62,749.50 : x
  2. Step 2: Convert to fraction form
    38,964/62,749.50 = 62,749.50/x
  3. Step 3: Cross multiply
    38,964x = 62,749.50 × 62,749.50
  4. Step 4: Simplify right side
    38,964x = 3,937,499,750.25
  5. Step 5: Solve for x
    x = 3,937,499,750.25/38,964
  6. Step 6: Final answer
    x = 101,054.81

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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.