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Finding the Third Proportional to 29,284 and 43,723

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Solution

The third proportional to 29,284 and 43,723 is: 65,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,284 : 43,723 = 43,723 : x
  2. Step 2: Convert to fraction form
    29,284/43,723 = 43,723/x
  3. Step 3: Cross multiply
    29,284x = 43,723 × 43,723
  4. Step 4: Simplify right side
    29,284x = 1,911,700,729
  5. Step 5: Solve for x
    x = 1,911,700,729/29,284
  6. Step 6: Final answer
    x = 65,281.41

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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.