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Finding the Third Proportional to 2,565 and 3,435.75

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Solution

The third proportional to 2,565 and 3,435.75 is: 4,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,435.75 = 3,435.75 : x
  2. Step 2: Convert to fraction form
    2,565/3,435.75 = 3,435.75/x
  3. Step 3: Cross multiply
    2,565x = 3,435.75 × 3,435.75
  4. Step 4: Simplify right side
    2,565x = 11,804,378.06
  5. Step 5: Solve for x
    x = 11,804,378.06/2,565
  6. Step 6: Final answer
    x = 4,602.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.