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Finding the Third Proportional to 44,145 and 64,921.50

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Solution

The third proportional to 44,145 and 64,921.50 is: 95,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145 : 64,921.50 = 64,921.50 : x
  2. Step 2: Convert to fraction form
    44,145/64,921.50 = 64,921.50/x
  3. Step 3: Cross multiply
    44,145x = 64,921.50 × 64,921.50
  4. Step 4: Simplify right side
    44,145x = 4,214,801,162.25
  5. Step 5: Solve for x
    x = 4,214,801,162.25/44,145
  6. Step 6: Final answer
    x = 95,476.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.