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Finding the Third Proportional to 7,322.41 and 15,164.09

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Solution

The third proportional to 7,322.41 and 15,164.09 is: 31,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.41 : 15,164.09 = 15,164.09 : x
  2. Step 2: Convert to fraction form
    7,322.41/15,164.09 = 15,164.09/x
  3. Step 3: Cross multiply
    7,322.41x = 15,164.09 × 15,164.09
  4. Step 4: Simplify right side
    7,322.41x = 229,949,502.32
  5. Step 5: Solve for x
    x = 229,949,502.32/7,322.41
  6. Step 6: Final answer
    x = 31,403.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.