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Finding the Third Proportional to 7,336 and 14,304.50

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Solution

The third proportional to 7,336 and 14,304.50 is: 27,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336 : 14,304.50 = 14,304.50 : x
  2. Step 2: Convert to fraction form
    7,336/14,304.50 = 14,304.50/x
  3. Step 3: Cross multiply
    7,336x = 14,304.50 × 14,304.50
  4. Step 4: Simplify right side
    7,336x = 204,618,720.25
  5. Step 5: Solve for x
    x = 204,618,720.25/7,336
  6. Step 6: Final answer
    x = 27,892.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.