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Finding the Third Proportional to 30,501 and 55,939.50

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Solution

The third proportional to 30,501 and 55,939.50 is: 102,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 55,939.50 = 55,939.50 : x
  2. Step 2: Convert to fraction form
    30,501/55,939.50 = 55,939.50/x
  3. Step 3: Cross multiply
    30,501x = 55,939.50 × 55,939.50
  4. Step 4: Simplify right side
    30,501x = 3,129,227,660.25
  5. Step 5: Solve for x
    x = 3,129,227,660.25/30,501
  6. Step 6: Final answer
    x = 102,594.26

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.