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Finding the Third Proportional to 34,907.63 and 75,349.75

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Solution

The third proportional to 34,907.63 and 75,349.75 is: 162,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,907.63 : 75,349.75 = 75,349.75 : x
  2. Step 2: Convert to fraction form
    34,907.63/75,349.75 = 75,349.75/x
  3. Step 3: Cross multiply
    34,907.63x = 75,349.75 × 75,349.75
  4. Step 4: Simplify right side
    34,907.63x = 5,677,584,825.06
  5. Step 5: Solve for x
    x = 5,677,584,825.06/34,907.63
  6. Step 6: Final answer
    x = 162,645.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.