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Finding the Third Proportional to 37,597.61 and 48,150.31

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Solution

The third proportional to 37,597.61 and 48,150.31 is: 61,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597.61 : 48,150.31 = 48,150.31 : x
  2. Step 2: Convert to fraction form
    37,597.61/48,150.31 = 48,150.31/x
  3. Step 3: Cross multiply
    37,597.61x = 48,150.31 × 48,150.31
  4. Step 4: Simplify right side
    37,597.61x = 2,318,452,123.63
  5. Step 5: Solve for x
    x = 2,318,452,123.63/37,597.61
  6. Step 6: Final answer
    x = 61,664.89

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.