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Finding the Third Proportional to 4,329.75 and 9,482.25

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Solution

The third proportional to 4,329.75 and 9,482.25 is: 20,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.75 : 9,482.25 = 9,482.25 : x
  2. Step 2: Convert to fraction form
    4,329.75/9,482.25 = 9,482.25/x
  3. Step 3: Cross multiply
    4,329.75x = 9,482.25 × 9,482.25
  4. Step 4: Simplify right side
    4,329.75x = 89,913,065.06
  5. Step 5: Solve for x
    x = 89,913,065.06/4,329.75
  6. Step 6: Final answer
    x = 20,766.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.