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Finding the Third Proportional to 13,388 and 29,329

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Solution

The third proportional to 13,388 and 29,329 is: 64,250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388 : 29,329 = 29,329 : x
  2. Step 2: Convert to fraction form
    13,388/29,329 = 29,329/x
  3. Step 3: Cross multiply
    13,388x = 29,329 × 29,329
  4. Step 4: Simplify right side
    13,388x = 860,190,241
  5. Step 5: Solve for x
    x = 860,190,241/13,388
  6. Step 6: Final answer
    x = 64,250.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.