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Finding the Third Proportional to 2,652.75 and 5,774.63

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Solution

The third proportional to 2,652.75 and 5,774.63 is: 12,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.75 : 5,774.63 = 5,774.63 : x
  2. Step 2: Convert to fraction form
    2,652.75/5,774.63 = 5,774.63/x
  3. Step 3: Cross multiply
    2,652.75x = 5,774.63 × 5,774.63
  4. Step 4: Simplify right side
    2,652.75x = 33,346,293.89
  5. Step 5: Solve for x
    x = 33,346,293.89/2,652.75
  6. Step 6: Final answer
    x = 12,570.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.