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Finding the Third Proportional to 1,960 and 5,308

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Solution

The third proportional to 1,960 and 5,308 is: 14,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960 : 5,308 = 5,308 : x
  2. Step 2: Convert to fraction form
    1,960/5,308 = 5,308/x
  3. Step 3: Cross multiply
    1,960x = 5,308 × 5,308
  4. Step 4: Simplify right side
    1,960x = 28,174,864
  5. Step 5: Solve for x
    x = 28,174,864/1,960
  6. Step 6: Final answer
    x = 14,374.93

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.