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Finding the Third Proportional to 15,336 and 21,705

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Solution

The third proportional to 15,336 and 21,705 is: 30,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 21,705 = 21,705 : x
  2. Step 2: Convert to fraction form
    15,336/21,705 = 21,705/x
  3. Step 3: Cross multiply
    15,336x = 21,705 × 21,705
  4. Step 4: Simplify right side
    15,336x = 471,107,025
  5. Step 5: Solve for x
    x = 471,107,025/15,336
  6. Step 6: Final answer
    x = 30,719.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.