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Finding the Third Proportional to 30,768 and 43,999.50

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Solution

The third proportional to 30,768 and 43,999.50 is: 62,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768 : 43,999.50 = 43,999.50 : x
  2. Step 2: Convert to fraction form
    30,768/43,999.50 = 43,999.50/x
  3. Step 3: Cross multiply
    30,768x = 43,999.50 × 43,999.50
  4. Step 4: Simplify right side
    30,768x = 1,935,956,000.25
  5. Step 5: Solve for x
    x = 1,935,956,000.25/30,768
  6. Step 6: Final answer
    x = 62,921.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.