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Finding the Third Proportional to 15,915.75 and 37,162.50

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Solution

The third proportional to 15,915.75 and 37,162.50 is: 86,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,915.75 : 37,162.50 = 37,162.50 : x
  2. Step 2: Convert to fraction form
    15,915.75/37,162.50 = 37,162.50/x
  3. Step 3: Cross multiply
    15,915.75x = 37,162.50 × 37,162.50
  4. Step 4: Simplify right side
    15,915.75x = 1,381,051,406.25
  5. Step 5: Solve for x
    x = 1,381,051,406.25/15,915.75
  6. Step 6: Final answer
    x = 86,772.62

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.