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Finding the Third Proportional to 2,078.16 and 4,486.01

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Solution

The third proportional to 2,078.16 and 4,486.01 is: 9,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.16 : 4,486.01 = 4,486.01 : x
  2. Step 2: Convert to fraction form
    2,078.16/4,486.01 = 4,486.01/x
  3. Step 3: Cross multiply
    2,078.16x = 4,486.01 × 4,486.01
  4. Step 4: Simplify right side
    2,078.16x = 20,124,266.09
  5. Step 5: Solve for x
    x = 20,124,266.09/2,078.16
  6. Step 6: Final answer
    x = 9,683.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.