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Finding the Third Proportional to 27,884 and 40,896

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Solution

The third proportional to 27,884 and 40,896 is: 59,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884 : 40,896 = 40,896 : x
  2. Step 2: Convert to fraction form
    27,884/40,896 = 40,896/x
  3. Step 3: Cross multiply
    27,884x = 40,896 × 40,896
  4. Step 4: Simplify right side
    27,884x = 1,672,482,816
  5. Step 5: Solve for x
    x = 1,672,482,816/27,884
  6. Step 6: Final answer
    x = 59,980.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.