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Finding the Third Proportional to 30,856.50 and 48,013.50

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Solution

The third proportional to 30,856.50 and 48,013.50 is: 74,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.50 : 48,013.50 = 48,013.50 : x
  2. Step 2: Convert to fraction form
    30,856.50/48,013.50 = 48,013.50/x
  3. Step 3: Cross multiply
    30,856.50x = 48,013.50 × 48,013.50
  4. Step 4: Simplify right side
    30,856.50x = 2,305,296,182.25
  5. Step 5: Solve for x
    x = 2,305,296,182.25/30,856.50
  6. Step 6: Final answer
    x = 74,710.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.