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Finding the Third Proportional to 15,664.50 and 32,865

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Solution

The third proportional to 15,664.50 and 32,865 is: 68,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.50 : 32,865 = 32,865 : x
  2. Step 2: Convert to fraction form
    15,664.50/32,865 = 32,865/x
  3. Step 3: Cross multiply
    15,664.50x = 32,865 × 32,865
  4. Step 4: Simplify right side
    15,664.50x = 1,080,108,225
  5. Step 5: Solve for x
    x = 1,080,108,225/15,664.50
  6. Step 6: Final answer
    x = 68,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.