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Finding the Third Proportional to 15,876.50 and 35,512

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Solution

The third proportional to 15,876.50 and 35,512 is: 79,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.50 : 35,512 = 35,512 : x
  2. Step 2: Convert to fraction form
    15,876.50/35,512 = 35,512/x
  3. Step 3: Cross multiply
    15,876.50x = 35,512 × 35,512
  4. Step 4: Simplify right side
    15,876.50x = 1,261,102,144
  5. Step 5: Solve for x
    x = 1,261,102,144/15,876.50
  6. Step 6: Final answer
    x = 79,432.00

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.