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Finding the Third Proportional to 6,323.25 and 9,572.25

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Solution

The third proportional to 6,323.25 and 9,572.25 is: 14,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.25 : 9,572.25 = 9,572.25 : x
  2. Step 2: Convert to fraction form
    6,323.25/9,572.25 = 9,572.25/x
  3. Step 3: Cross multiply
    6,323.25x = 9,572.25 × 9,572.25
  4. Step 4: Simplify right side
    6,323.25x = 91,627,970.06
  5. Step 5: Solve for x
    x = 91,627,970.06/6,323.25
  6. Step 6: Final answer
    x = 14,490.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.