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Finding the Third Proportional to 15,970.50 and 25,515

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Solution

The third proportional to 15,970.50 and 25,515 is: 40,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.50 : 25,515 = 25,515 : x
  2. Step 2: Convert to fraction form
    15,970.50/25,515 = 25,515/x
  3. Step 3: Cross multiply
    15,970.50x = 25,515 × 25,515
  4. Step 4: Simplify right side
    15,970.50x = 651,015,225
  5. Step 5: Solve for x
    x = 651,015,225/15,970.50
  6. Step 6: Final answer
    x = 40,763.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.