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Finding the Third Proportional to 7,369 and 16,237

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Solution

The third proportional to 7,369 and 16,237 is: 35,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369 : 16,237 = 16,237 : x
  2. Step 2: Convert to fraction form
    7,369/16,237 = 16,237/x
  3. Step 3: Cross multiply
    7,369x = 16,237 × 16,237
  4. Step 4: Simplify right side
    7,369x = 263,640,169
  5. Step 5: Solve for x
    x = 263,640,169/7,369
  6. Step 6: Final answer
    x = 35,776.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.