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Finding the Third Proportional to 6,193.50 and 9,289.50

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Solution

The third proportional to 6,193.50 and 9,289.50 is: 13,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.50 : 9,289.50 = 9,289.50 : x
  2. Step 2: Convert to fraction form
    6,193.50/9,289.50 = 9,289.50/x
  3. Step 3: Cross multiply
    6,193.50x = 9,289.50 × 9,289.50
  4. Step 4: Simplify right side
    6,193.50x = 86,294,810.25
  5. Step 5: Solve for x
    x = 86,294,810.25/6,193.50
  6. Step 6: Final answer
    x = 13,933.13

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1.5x scale

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.