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Finding the Third Proportional to 15,408 and 32,736

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Solution

The third proportional to 15,408 and 32,736 is: 69,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 32,736 = 32,736 : x
  2. Step 2: Convert to fraction form
    15,408/32,736 = 32,736/x
  3. Step 3: Cross multiply
    15,408x = 32,736 × 32,736
  4. Step 4: Simplify right side
    15,408x = 1,071,645,696
  5. Step 5: Solve for x
    x = 1,071,645,696/15,408
  6. Step 6: Final answer
    x = 69,551.25

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.