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Finding the Third Proportional to 18,946.25 and 28,682.25

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Solution

The third proportional to 18,946.25 and 28,682.25 is: 43,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.25 : 28,682.25 = 28,682.25 : x
  2. Step 2: Convert to fraction form
    18,946.25/28,682.25 = 28,682.25/x
  3. Step 3: Cross multiply
    18,946.25x = 28,682.25 × 28,682.25
  4. Step 4: Simplify right side
    18,946.25x = 822,671,465.06
  5. Step 5: Solve for x
    x = 822,671,465.06/18,946.25
  6. Step 6: Final answer
    x = 43,421.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.