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Finding the Third Proportional to 34,162.31 and 72,038.25

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Solution

The third proportional to 34,162.31 and 72,038.25 is: 151,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.31 : 72,038.25 = 72,038.25 : x
  2. Step 2: Convert to fraction form
    34,162.31/72,038.25 = 72,038.25/x
  3. Step 3: Cross multiply
    34,162.31x = 72,038.25 × 72,038.25
  4. Step 4: Simplify right side
    34,162.31x = 5,189,509,463.06
  5. Step 5: Solve for x
    x = 5,189,509,463.06/34,162.31
  6. Step 6: Final answer
    x = 151,907.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.