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Finding the Third Proportional to 30,227.63 and 48,835.13

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Solution

The third proportional to 30,227.63 and 48,835.13 is: 78,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.63 : 48,835.13 = 48,835.13 : x
  2. Step 2: Convert to fraction form
    30,227.63/48,835.13 = 48,835.13/x
  3. Step 3: Cross multiply
    30,227.63x = 48,835.13 × 48,835.13
  4. Step 4: Simplify right side
    30,227.63x = 2,384,869,433.77
  5. Step 5: Solve for x
    x = 2,384,869,433.77/30,227.63
  6. Step 6: Final answer
    x = 78,897.02

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.