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Finding the Third Proportional to 14,498 and 22,323

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Solution

The third proportional to 14,498 and 22,323 is: 34,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498 : 22,323 = 22,323 : x
  2. Step 2: Convert to fraction form
    14,498/22,323 = 22,323/x
  3. Step 3: Cross multiply
    14,498x = 22,323 × 22,323
  4. Step 4: Simplify right side
    14,498x = 498,316,329
  5. Step 5: Solve for x
    x = 498,316,329/14,498
  6. Step 6: Final answer
    x = 34,371.38

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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.