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Finding the Third Proportional to 5,070.94 and 5,504.06

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Solution

The third proportional to 5,070.94 and 5,504.06 is: 5,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.94 : 5,504.06 = 5,504.06 : x
  2. Step 2: Convert to fraction form
    5,070.94/5,504.06 = 5,504.06/x
  3. Step 3: Cross multiply
    5,070.94x = 5,504.06 × 5,504.06
  4. Step 4: Simplify right side
    5,070.94x = 30,294,704.00
  5. Step 5: Solve for x
    x = 30,294,704.00/5,070.94
  6. Step 6: Final answer
    x = 5,974.18

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.