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Finding the Third Proportional to 6,172.50 and 9,259.50

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Solution

The third proportional to 6,172.50 and 9,259.50 is: 13,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.50 : 9,259.50 = 9,259.50 : x
  2. Step 2: Convert to fraction form
    6,172.50/9,259.50 = 9,259.50/x
  3. Step 3: Cross multiply
    6,172.50x = 9,259.50 × 9,259.50
  4. Step 4: Simplify right side
    6,172.50x = 85,738,340.25
  5. Step 5: Solve for x
    x = 85,738,340.25/6,172.50
  6. Step 6: Final answer
    x = 13,890.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.