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Finding the Third Proportional to 37,887 and 59,438.25

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Solution

The third proportional to 37,887 and 59,438.25 is: 93,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,887 : 59,438.25 = 59,438.25 : x
  2. Step 2: Convert to fraction form
    37,887/59,438.25 = 59,438.25/x
  3. Step 3: Cross multiply
    37,887x = 59,438.25 × 59,438.25
  4. Step 4: Simplify right side
    37,887x = 3,532,905,563.06
  5. Step 5: Solve for x
    x = 3,532,905,563.06/37,887
  6. Step 6: Final answer
    x = 93,248.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.