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Finding the Third Proportional to 16,324 and 35,348

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Solution

The third proportional to 16,324 and 35,348 is: 76,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324 : 35,348 = 35,348 : x
  2. Step 2: Convert to fraction form
    16,324/35,348 = 35,348/x
  3. Step 3: Cross multiply
    16,324x = 35,348 × 35,348
  4. Step 4: Simplify right side
    16,324x = 1,249,481,104
  5. Step 5: Solve for x
    x = 1,249,481,104/16,324
  6. Step 6: Final answer
    x = 76,542.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.