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Finding the Third Proportional to 4,310.09 and 9,258.05

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Solution

The third proportional to 4,310.09 and 9,258.05 is: 19,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.09 : 9,258.05 = 9,258.05 : x
  2. Step 2: Convert to fraction form
    4,310.09/9,258.05 = 9,258.05/x
  3. Step 3: Cross multiply
    4,310.09x = 9,258.05 × 9,258.05
  4. Step 4: Simplify right side
    4,310.09x = 85,711,431.94
  5. Step 5: Solve for x
    x = 85,711,431.94/4,310.09
  6. Step 6: Final answer
    x = 19,886.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.