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Finding the Third Proportional to 31,070.25 and 43,922.25

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Solution

The third proportional to 31,070.25 and 43,922.25 is: 62,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.25 : 43,922.25 = 43,922.25 : x
  2. Step 2: Convert to fraction form
    31,070.25/43,922.25 = 43,922.25/x
  3. Step 3: Cross multiply
    31,070.25x = 43,922.25 × 43,922.25
  4. Step 4: Simplify right side
    31,070.25x = 1,929,164,045.06
  5. Step 5: Solve for x
    x = 1,929,164,045.06/31,070.25
  6. Step 6: Final answer
    x = 62,090.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.