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Finding the Third Proportional to 10,365.47 and 27,007.17

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Solution

The third proportional to 10,365.47 and 27,007.17 is: 70,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.47 : 27,007.17 = 27,007.17 : x
  2. Step 2: Convert to fraction form
    10,365.47/27,007.17 = 27,007.17/x
  3. Step 3: Cross multiply
    10,365.47x = 27,007.17 × 27,007.17
  4. Step 4: Simplify right side
    10,365.47x = 729,387,332.69
  5. Step 5: Solve for x
    x = 729,387,332.69/10,365.47
  6. Step 6: Final answer
    x = 70,367.04

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These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.