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Finding the Third Proportional to 10,388 and 14,406

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Solution

The third proportional to 10,388 and 14,406 is: 19,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388 : 14,406 = 14,406 : x
  2. Step 2: Convert to fraction form
    10,388/14,406 = 14,406/x
  3. Step 3: Cross multiply
    10,388x = 14,406 × 14,406
  4. Step 4: Simplify right side
    10,388x = 207,532,836
  5. Step 5: Solve for x
    x = 207,532,836/10,388
  6. Step 6: Final answer
    x = 19,978.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.