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Finding the Third Proportional to 8,352 and 13,323

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Solution

The third proportional to 8,352 and 13,323 is: 21,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 13,323 = 13,323 : x
  2. Step 2: Convert to fraction form
    8,352/13,323 = 13,323/x
  3. Step 3: Cross multiply
    8,352x = 13,323 × 13,323
  4. Step 4: Simplify right side
    8,352x = 177,502,329
  5. Step 5: Solve for x
    x = 177,502,329/8,352
  6. Step 6: Final answer
    x = 21,252.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.