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Finding the Third Proportional to 2,565 and 2,835

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Solution

The third proportional to 2,565 and 2,835 is: 3,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 2,835 = 2,835 : x
  2. Step 2: Convert to fraction form
    2,565/2,835 = 2,835/x
  3. Step 3: Cross multiply
    2,565x = 2,835 × 2,835
  4. Step 4: Simplify right side
    2,565x = 8,037,225
  5. Step 5: Solve for x
    x = 8,037,225/2,565
  6. Step 6: Final answer
    x = 3,133.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.