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Finding the Third Proportional to 15,688.50 and 33,663

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Solution

The third proportional to 15,688.50 and 33,663 is: 72,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.50 : 33,663 = 33,663 : x
  2. Step 2: Convert to fraction form
    15,688.50/33,663 = 33,663/x
  3. Step 3: Cross multiply
    15,688.50x = 33,663 × 33,663
  4. Step 4: Simplify right side
    15,688.50x = 1,133,197,569
  5. Step 5: Solve for x
    x = 1,133,197,569/15,688.50
  6. Step 6: Final answer
    x = 72,231.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.