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Finding the Third Proportional to 2,827.99 and 4,160.29

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Solution

The third proportional to 2,827.99 and 4,160.29 is: 6,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.99 : 4,160.29 = 4,160.29 : x
  2. Step 2: Convert to fraction form
    2,827.99/4,160.29 = 4,160.29/x
  3. Step 3: Cross multiply
    2,827.99x = 4,160.29 × 4,160.29
  4. Step 4: Simplify right side
    2,827.99x = 17,308,032.00
  5. Step 5: Solve for x
    x = 17,308,032.00/2,827.99
  6. Step 6: Final answer
    x = 6,120.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.