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Finding the Third Proportional to 34,608.63 and 75,622.89

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Solution

The third proportional to 34,608.63 and 75,622.89 is: 165,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,608.63 : 75,622.89 = 75,622.89 : x
  2. Step 2: Convert to fraction form
    34,608.63/75,622.89 = 75,622.89/x
  3. Step 3: Cross multiply
    34,608.63x = 75,622.89 × 75,622.89
  4. Step 4: Simplify right side
    34,608.63x = 5,718,821,992.66
  5. Step 5: Solve for x
    x = 5,718,821,992.66/34,608.63
  6. Step 6: Final answer
    x = 165,242.64

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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.