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Finding the Third Proportional to 15,734.25 and 32,258.25

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Solution

The third proportional to 15,734.25 and 32,258.25 is: 66,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.25 : 32,258.25 = 32,258.25 : x
  2. Step 2: Convert to fraction form
    15,734.25/32,258.25 = 32,258.25/x
  3. Step 3: Cross multiply
    15,734.25x = 32,258.25 × 32,258.25
  4. Step 4: Simplify right side
    15,734.25x = 1,040,594,693.06
  5. Step 5: Solve for x
    x = 1,040,594,693.06/15,734.25
  6. Step 6: Final answer
    x = 66,135.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.