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Finding the Third Proportional to 18,260 and 28,196.25

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Solution

The third proportional to 18,260 and 28,196.25 is: 43,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,260 : 28,196.25 = 28,196.25 : x
  2. Step 2: Convert to fraction form
    18,260/28,196.25 = 28,196.25/x
  3. Step 3: Cross multiply
    18,260x = 28,196.25 × 28,196.25
  4. Step 4: Simplify right side
    18,260x = 795,028,514.06
  5. Step 5: Solve for x
    x = 795,028,514.06/18,260
  6. Step 6: Final answer
    x = 43,539.35

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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.