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Finding the Third Proportional to 29,922 and 46,323

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Solution

The third proportional to 29,922 and 46,323 is: 71,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922 : 46,323 = 46,323 : x
  2. Step 2: Convert to fraction form
    29,922/46,323 = 46,323/x
  3. Step 3: Cross multiply
    29,922x = 46,323 × 46,323
  4. Step 4: Simplify right side
    29,922x = 2,145,820,329
  5. Step 5: Solve for x
    x = 2,145,820,329/29,922
  6. Step 6: Final answer
    x = 71,713.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.