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Finding the Third Proportional to 34,225.80 and 74,893.27

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Solution

The third proportional to 34,225.80 and 74,893.27 is: 163,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.80 : 74,893.27 = 74,893.27 : x
  2. Step 2: Convert to fraction form
    34,225.80/74,893.27 = 74,893.27/x
  3. Step 3: Cross multiply
    34,225.80x = 74,893.27 × 74,893.27
  4. Step 4: Simplify right side
    34,225.80x = 5,609,001,949.07
  5. Step 5: Solve for x
    x = 5,609,001,949.07/34,225.80
  6. Step 6: Final answer
    x = 163,882.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.