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Finding the Third Proportional to 5,258 and 9,274

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Solution

The third proportional to 5,258 and 9,274 is: 16,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 9,274 = 9,274 : x
  2. Step 2: Convert to fraction form
    5,258/9,274 = 9,274/x
  3. Step 3: Cross multiply
    5,258x = 9,274 × 9,274
  4. Step 4: Simplify right side
    5,258x = 86,007,076
  5. Step 5: Solve for x
    x = 86,007,076/5,258
  6. Step 6: Final answer
    x = 16,357.37

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.