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Finding the Third Proportional to 27,641.81 and 42,490.69

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Solution

The third proportional to 27,641.81 and 42,490.69 is: 65,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.81 : 42,490.69 = 42,490.69 : x
  2. Step 2: Convert to fraction form
    27,641.81/42,490.69 = 42,490.69/x
  3. Step 3: Cross multiply
    27,641.81x = 42,490.69 × 42,490.69
  4. Step 4: Simplify right side
    27,641.81x = 1,805,458,524.22
  5. Step 5: Solve for x
    x = 1,805,458,524.22/27,641.81
  6. Step 6: Final answer
    x = 65,316.21

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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.