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Finding the Third Proportional to 16,154.25 and 34,262.25

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Solution

The third proportional to 16,154.25 and 34,262.25 is: 72,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.25 : 34,262.25 = 34,262.25 : x
  2. Step 2: Convert to fraction form
    16,154.25/34,262.25 = 34,262.25/x
  3. Step 3: Cross multiply
    16,154.25x = 34,262.25 × 34,262.25
  4. Step 4: Simplify right side
    16,154.25x = 1,173,901,775.06
  5. Step 5: Solve for x
    x = 1,173,901,775.06/16,154.25
  6. Step 6: Final answer
    x = 72,668.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.