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Finding the Third Proportional to 24,051 and 35,878

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Solution

The third proportional to 24,051 and 35,878 is: 53,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051 : 35,878 = 35,878 : x
  2. Step 2: Convert to fraction form
    24,051/35,878 = 35,878/x
  3. Step 3: Cross multiply
    24,051x = 35,878 × 35,878
  4. Step 4: Simplify right side
    24,051x = 1,287,230,884
  5. Step 5: Solve for x
    x = 1,287,230,884/24,051
  6. Step 6: Final answer
    x = 53,520.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.