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Finding the Third Proportional to 7,564 and 15,728

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Solution

The third proportional to 7,564 and 15,728 is: 32,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564 : 15,728 = 15,728 : x
  2. Step 2: Convert to fraction form
    7,564/15,728 = 15,728/x
  3. Step 3: Cross multiply
    7,564x = 15,728 × 15,728
  4. Step 4: Simplify right side
    7,564x = 247,369,984
  5. Step 5: Solve for x
    x = 247,369,984/7,564
  6. Step 6: Final answer
    x = 32,703.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.