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Finding the Third Proportional to 27,072.84 and 41,666.47

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Solution

The third proportional to 27,072.84 and 41,666.47 is: 64,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072.84 : 41,666.47 = 41,666.47 : x
  2. Step 2: Convert to fraction form
    27,072.84/41,666.47 = 41,666.47/x
  3. Step 3: Cross multiply
    27,072.84x = 41,666.47 × 41,666.47
  4. Step 4: Simplify right side
    27,072.84x = 1,736,094,618.09
  5. Step 5: Solve for x
    x = 1,736,094,618.09/27,072.84
  6. Step 6: Final answer
    x = 64,126.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.