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Finding the Third Proportional to 17,493.47 and 27,362.81

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Solution

The third proportional to 17,493.47 and 27,362.81 is: 42,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.47 : 27,362.81 = 27,362.81 : x
  2. Step 2: Convert to fraction form
    17,493.47/27,362.81 = 27,362.81/x
  3. Step 3: Cross multiply
    17,493.47x = 27,362.81 × 27,362.81
  4. Step 4: Simplify right side
    17,493.47x = 748,723,507.91
  5. Step 5: Solve for x
    x = 748,723,507.91/17,493.47
  6. Step 6: Final answer
    x = 42,800.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.