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Finding the Third Proportional to 24,827.63 and 31,878

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Solution

The third proportional to 24,827.63 and 31,878 is: 40,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.63 : 31,878 = 31,878 : x
  2. Step 2: Convert to fraction form
    24,827.63/31,878 = 31,878/x
  3. Step 3: Cross multiply
    24,827.63x = 31,878 × 31,878
  4. Step 4: Simplify right side
    24,827.63x = 1,016,206,884
  5. Step 5: Solve for x
    x = 1,016,206,884/24,827.63
  6. Step 6: Final answer
    x = 40,930.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.