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Finding the Third Proportional to 37,863 and 59,403

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Solution

The third proportional to 37,863 and 59,403 is: 93,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863 : 59,403 = 59,403 : x
  2. Step 2: Convert to fraction form
    37,863/59,403 = 59,403/x
  3. Step 3: Cross multiply
    37,863x = 59,403 × 59,403
  4. Step 4: Simplify right side
    37,863x = 3,528,716,409
  5. Step 5: Solve for x
    x = 3,528,716,409/37,863
  6. Step 6: Final answer
    x = 93,196.96

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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.