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Finding the Third Proportional to 5,971.50 and 9,277.50

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Solution

The third proportional to 5,971.50 and 9,277.50 is: 14,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 9,277.50 = 9,277.50 : x
  2. Step 2: Convert to fraction form
    5,971.50/9,277.50 = 9,277.50/x
  3. Step 3: Cross multiply
    5,971.50x = 9,277.50 × 9,277.50
  4. Step 4: Simplify right side
    5,971.50x = 86,072,006.25
  5. Step 5: Solve for x
    x = 86,072,006.25/5,971.50
  6. Step 6: Final answer
    x = 14,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.