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Finding the Third Proportional to 4,971.75 and 5,646.75

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Solution

The third proportional to 4,971.75 and 5,646.75 is: 6,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.75 : 5,646.75 = 5,646.75 : x
  2. Step 2: Convert to fraction form
    4,971.75/5,646.75 = 5,646.75/x
  3. Step 3: Cross multiply
    4,971.75x = 5,646.75 × 5,646.75
  4. Step 4: Simplify right side
    4,971.75x = 31,885,785.56
  5. Step 5: Solve for x
    x = 31,885,785.56/4,971.75
  6. Step 6: Final answer
    x = 6,413.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.