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Finding the Third Proportional to 2,258 and 2,546

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Solution

The third proportional to 2,258 and 2,546 is: 2,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258 : 2,546 = 2,546 : x
  2. Step 2: Convert to fraction form
    2,258/2,546 = 2,546/x
  3. Step 3: Cross multiply
    2,258x = 2,546 × 2,546
  4. Step 4: Simplify right side
    2,258x = 6,482,116
  5. Step 5: Solve for x
    x = 6,482,116/2,258
  6. Step 6: Final answer
    x = 2,870.73

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.