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Finding the Third Proportional to 17,953.65 and 28,682.05

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Solution

The third proportional to 17,953.65 and 28,682.05 is: 45,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.65 : 28,682.05 = 28,682.05 : x
  2. Step 2: Convert to fraction form
    17,953.65/28,682.05 = 28,682.05/x
  3. Step 3: Cross multiply
    17,953.65x = 28,682.05 × 28,682.05
  4. Step 4: Simplify right side
    17,953.65x = 822,659,981.87
  5. Step 5: Solve for x
    x = 822,659,981.87/17,953.65
  6. Step 6: Final answer
    x = 45,821.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.