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Finding the Third Proportional to 6,564 and 7,224

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Solution

The third proportional to 6,564 and 7,224 is: 7,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564 : 7,224 = 7,224 : x
  2. Step 2: Convert to fraction form
    6,564/7,224 = 7,224/x
  3. Step 3: Cross multiply
    6,564x = 7,224 × 7,224
  4. Step 4: Simplify right side
    6,564x = 52,186,176
  5. Step 5: Solve for x
    x = 52,186,176/6,564
  6. Step 6: Final answer
    x = 7,950.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.