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Finding the Third Proportional to 6,564 and 10,176

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Solution

The third proportional to 6,564 and 10,176 is: 15,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 10,176 = 10,176 : x
  2. Step 2: Convert to fraction form
    6,564/10,176 = 10,176/x
  3. Step 3: Cross multiply
    6,564x = 10,176 × 10,176
  4. Step 4: Simplify right side
    6,564x = 103,550,976
  5. Step 5: Solve for x
    x = 103,550,976/6,564
  6. Step 6: Final answer
    x = 15,775.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.