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Finding the Third Proportional to 7,310.41 and 10,454.22

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Solution

The third proportional to 7,310.41 and 10,454.22 is: 14,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.41 : 10,454.22 = 10,454.22 : x
  2. Step 2: Convert to fraction form
    7,310.41/10,454.22 = 10,454.22/x
  3. Step 3: Cross multiply
    7,310.41x = 10,454.22 × 10,454.22
  4. Step 4: Simplify right side
    7,310.41x = 109,290,730.51
  5. Step 5: Solve for x
    x = 109,290,730.51/7,310.41
  6. Step 6: Final answer
    x = 14,950.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.