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Finding the Third Proportional to 37,884.25 and 59,429

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Solution

The third proportional to 37,884.25 and 59,429 is: 93,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.25 : 59,429 = 59,429 : x
  2. Step 2: Convert to fraction form
    37,884.25/59,429 = 59,429/x
  3. Step 3: Cross multiply
    37,884.25x = 59,429 × 59,429
  4. Step 4: Simplify right side
    37,884.25x = 3,531,806,041
  5. Step 5: Solve for x
    x = 3,531,806,041/37,884.25
  6. Step 6: Final answer
    x = 93,226.24

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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.