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Finding the Third Proportional to 31,553.72 and 48,515.63

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Solution

The third proportional to 31,553.72 and 48,515.63 is: 74,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.72 : 48,515.63 = 48,515.63 : x
  2. Step 2: Convert to fraction form
    31,553.72/48,515.63 = 48,515.63/x
  3. Step 3: Cross multiply
    31,553.72x = 48,515.63 × 48,515.63
  4. Step 4: Simplify right side
    31,553.72x = 2,353,765,869.14
  5. Step 5: Solve for x
    x = 2,353,765,869.14/31,553.72
  6. Step 6: Final answer
    x = 74,595.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.