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Finding the Third Proportional to 28,336 and 43,723

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Solution

The third proportional to 28,336 and 43,723 is: 67,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,336 : 43,723 = 43,723 : x
  2. Step 2: Convert to fraction form
    28,336/43,723 = 43,723/x
  3. Step 3: Cross multiply
    28,336x = 43,723 × 43,723
  4. Step 4: Simplify right side
    28,336x = 1,911,700,729
  5. Step 5: Solve for x
    x = 1,911,700,729/28,336
  6. Step 6: Final answer
    x = 67,465.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.