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Finding the Third Proportional to 5,258.67 and 7,238.74

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Solution

The third proportional to 5,258.67 and 7,238.74 is: 9,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.67 : 7,238.74 = 7,238.74 : x
  2. Step 2: Convert to fraction form
    5,258.67/7,238.74 = 7,238.74/x
  3. Step 3: Cross multiply
    5,258.67x = 7,238.74 × 7,238.74
  4. Step 4: Simplify right side
    5,258.67x = 52,399,388.46
  5. Step 5: Solve for x
    x = 52,399,388.46/5,258.67
  6. Step 6: Final answer
    x = 9,964.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.