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Finding the Third Proportional to 10,284.75 and 13,937.63

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Solution

The third proportional to 10,284.75 and 13,937.63 is: 18,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.75 : 13,937.63 = 13,937.63 : x
  2. Step 2: Convert to fraction form
    10,284.75/13,937.63 = 13,937.63/x
  3. Step 3: Cross multiply
    10,284.75x = 13,937.63 × 13,937.63
  4. Step 4: Simplify right side
    10,284.75x = 194,257,390.64
  5. Step 5: Solve for x
    x = 194,257,390.64/10,284.75
  6. Step 6: Final answer
    x = 18,887.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.