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Finding the Third Proportional to 1,242 and 2,565

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Solution

The third proportional to 1,242 and 2,565 is: 5,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242 : 2,565 = 2,565 : x
  2. Step 2: Convert to fraction form
    1,242/2,565 = 2,565/x
  3. Step 3: Cross multiply
    1,242x = 2,565 × 2,565
  4. Step 4: Simplify right side
    1,242x = 6,579,225
  5. Step 5: Solve for x
    x = 6,579,225/1,242
  6. Step 6: Final answer
    x = 5,297.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.