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Finding the Third Proportional to 1,258 and 2,702

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Solution

The third proportional to 1,258 and 2,702 is: 5,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258 : 2,702 = 2,702 : x
  2. Step 2: Convert to fraction form
    1,258/2,702 = 2,702/x
  3. Step 3: Cross multiply
    1,258x = 2,702 × 2,702
  4. Step 4: Simplify right side
    1,258x = 7,300,804
  5. Step 5: Solve for x
    x = 7,300,804/1,258
  6. Step 6: Final answer
    x = 5,803.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.