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Finding the Third Proportional to 44,933 and 69,588.50

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Solution

The third proportional to 44,933 and 69,588.50 is: 107,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,933 : 69,588.50 = 69,588.50 : x
  2. Step 2: Convert to fraction form
    44,933/69,588.50 = 69,588.50/x
  3. Step 3: Cross multiply
    44,933x = 69,588.50 × 69,588.50
  4. Step 4: Simplify right side
    44,933x = 4,842,559,332.25
  5. Step 5: Solve for x
    x = 4,842,559,332.25/44,933
  6. Step 6: Final answer
    x = 107,772.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.