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Finding the Third Proportional to 7,464 and 15,696

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Solution

The third proportional to 7,464 and 15,696 is: 33,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464 : 15,696 = 15,696 : x
  2. Step 2: Convert to fraction form
    7,464/15,696 = 15,696/x
  3. Step 3: Cross multiply
    7,464x = 15,696 × 15,696
  4. Step 4: Simplify right side
    7,464x = 246,364,416
  5. Step 5: Solve for x
    x = 246,364,416/7,464
  6. Step 6: Final answer
    x = 33,007.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.