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Finding the Third Proportional to 2,360.39 and 4,827.09

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Solution

The third proportional to 2,360.39 and 4,827.09 is: 9,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.39 : 4,827.09 = 4,827.09 : x
  2. Step 2: Convert to fraction form
    2,360.39/4,827.09 = 4,827.09/x
  3. Step 3: Cross multiply
    2,360.39x = 4,827.09 × 4,827.09
  4. Step 4: Simplify right side
    2,360.39x = 23,300,834.07
  5. Step 5: Solve for x
    x = 23,300,834.07/2,360.39
  6. Step 6: Final answer
    x = 9,871.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.