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Finding the Third Proportional to 2,157 and 2,379.75

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Solution

The third proportional to 2,157 and 2,379.75 is: 2,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157 : 2,379.75 = 2,379.75 : x
  2. Step 2: Convert to fraction form
    2,157/2,379.75 = 2,379.75/x
  3. Step 3: Cross multiply
    2,157x = 2,379.75 × 2,379.75
  4. Step 4: Simplify right side
    2,157x = 5,663,210.06
  5. Step 5: Solve for x
    x = 5,663,210.06/2,157
  6. Step 6: Final answer
    x = 2,625.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.