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Finding the Third Proportional to 1,523.85 and 3,258.07

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Solution

The third proportional to 1,523.85 and 3,258.07 is: 6,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.85 : 3,258.07 = 3,258.07 : x
  2. Step 2: Convert to fraction form
    1,523.85/3,258.07 = 3,258.07/x
  3. Step 3: Cross multiply
    1,523.85x = 3,258.07 × 3,258.07
  4. Step 4: Simplify right side
    1,523.85x = 10,615,050.80
  5. Step 5: Solve for x
    x = 10,615,050.80/1,523.85
  6. Step 6: Final answer
    x = 6,965.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.