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Finding the Third Proportional to 24,028 and 35,946

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Solution

The third proportional to 24,028 and 35,946 is: 53,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,028 : 35,946 = 35,946 : x
  2. Step 2: Convert to fraction form
    24,028/35,946 = 35,946/x
  3. Step 3: Cross multiply
    24,028x = 35,946 × 35,946
  4. Step 4: Simplify right side
    24,028x = 1,292,114,916
  5. Step 5: Solve for x
    x = 1,292,114,916/24,028
  6. Step 6: Final answer
    x = 53,775.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.