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Finding the Third Proportional to 27,838.69 and 45,904.22

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Solution

The third proportional to 27,838.69 and 45,904.22 is: 75,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.69 : 45,904.22 = 45,904.22 : x
  2. Step 2: Convert to fraction form
    27,838.69/45,904.22 = 45,904.22/x
  3. Step 3: Cross multiply
    27,838.69x = 45,904.22 × 45,904.22
  4. Step 4: Simplify right side
    27,838.69x = 2,107,197,299.05
  5. Step 5: Solve for x
    x = 2,107,197,299.05/27,838.69
  6. Step 6: Final answer
    x = 75,693.13

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.