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Finding the Third Proportional to 24,068 and 35,628

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Solution

The third proportional to 24,068 and 35,628 is: 52,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,068 : 35,628 = 35,628 : x
  2. Step 2: Convert to fraction form
    24,068/35,628 = 35,628/x
  3. Step 3: Cross multiply
    24,068x = 35,628 × 35,628
  4. Step 4: Simplify right side
    24,068x = 1,269,354,384
  5. Step 5: Solve for x
    x = 1,269,354,384/24,068
  6. Step 6: Final answer
    x = 52,740.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.