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Finding the Third Proportional to 1,917 and 5,176.50

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Solution

The third proportional to 1,917 and 5,176.50 is: 13,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917 : 5,176.50 = 5,176.50 : x
  2. Step 2: Convert to fraction form
    1,917/5,176.50 = 5,176.50/x
  3. Step 3: Cross multiply
    1,917x = 5,176.50 × 5,176.50
  4. Step 4: Simplify right side
    1,917x = 26,796,152.25
  5. Step 5: Solve for x
    x = 26,796,152.25/1,917
  6. Step 6: Final answer
    x = 13,978.17

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.