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Finding the Third Proportional to 15,859.50 and 25,113.75

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Solution

The third proportional to 15,859.50 and 25,113.75 is: 39,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.50 : 25,113.75 = 25,113.75 : x
  2. Step 2: Convert to fraction form
    15,859.50/25,113.75 = 25,113.75/x
  3. Step 3: Cross multiply
    15,859.50x = 25,113.75 × 25,113.75
  4. Step 4: Simplify right side
    15,859.50x = 630,700,439.06
  5. Step 5: Solve for x
    x = 630,700,439.06/15,859.50
  6. Step 6: Final answer
    x = 39,767.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.