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Finding the Third Proportional to 6,671.25 and 9,662.25

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Solution

The third proportional to 6,671.25 and 9,662.25 is: 13,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.25 : 9,662.25 = 9,662.25 : x
  2. Step 2: Convert to fraction form
    6,671.25/9,662.25 = 9,662.25/x
  3. Step 3: Cross multiply
    6,671.25x = 9,662.25 × 9,662.25
  4. Step 4: Simplify right side
    6,671.25x = 93,359,075.06
  5. Step 5: Solve for x
    x = 93,359,075.06/6,671.25
  6. Step 6: Final answer
    x = 13,994.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.