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Finding the Third Proportional to 31,145 and 44,769.50

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Solution

The third proportional to 31,145 and 44,769.50 is: 64,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145 : 44,769.50 = 44,769.50 : x
  2. Step 2: Convert to fraction form
    31,145/44,769.50 = 44,769.50/x
  3. Step 3: Cross multiply
    31,145x = 44,769.50 × 44,769.50
  4. Step 4: Simplify right side
    31,145x = 2,004,308,130.25
  5. Step 5: Solve for x
    x = 2,004,308,130.25/31,145
  6. Step 6: Final answer
    x = 64,354.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.