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Finding the Third Proportional to 9,042.75 and 18,950.63

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Solution

The third proportional to 9,042.75 and 18,950.63 is: 39,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.75 : 18,950.63 = 18,950.63 : x
  2. Step 2: Convert to fraction form
    9,042.75/18,950.63 = 18,950.63/x
  3. Step 3: Cross multiply
    9,042.75x = 18,950.63 × 18,950.63
  4. Step 4: Simplify right side
    9,042.75x = 359,126,187.89
  5. Step 5: Solve for x
    x = 359,126,187.89/9,042.75
  6. Step 6: Final answer
    x = 39,714.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.