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Finding the Third Proportional to 24,078 and 35,420

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Solution

The third proportional to 24,078 and 35,420 is: 52,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078 : 35,420 = 35,420 : x
  2. Step 2: Convert to fraction form
    24,078/35,420 = 35,420/x
  3. Step 3: Cross multiply
    24,078x = 35,420 × 35,420
  4. Step 4: Simplify right side
    24,078x = 1,254,576,400
  5. Step 5: Solve for x
    x = 1,254,576,400/24,078
  6. Step 6: Final answer
    x = 52,104.68

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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.