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Finding the Third Proportional to 3,452.63 and 4,827.94

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Solution

The third proportional to 3,452.63 and 4,827.94 is: 6,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.63 : 4,827.94 = 4,827.94 : x
  2. Step 2: Convert to fraction form
    3,452.63/4,827.94 = 4,827.94/x
  3. Step 3: Cross multiply
    3,452.63x = 4,827.94 × 4,827.94
  4. Step 4: Simplify right side
    3,452.63x = 23,308,980.50
  5. Step 5: Solve for x
    x = 23,308,980.50/3,452.63
  6. Step 6: Final answer
    x = 6,751.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.