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Finding the Third Proportional to 19,216 and 28,089

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Solution

The third proportional to 19,216 and 28,089 is: 41,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 28,089 = 28,089 : x
  2. Step 2: Convert to fraction form
    19,216/28,089 = 28,089/x
  3. Step 3: Cross multiply
    19,216x = 28,089 × 28,089
  4. Step 4: Simplify right side
    19,216x = 788,991,921
  5. Step 5: Solve for x
    x = 788,991,921/19,216
  6. Step 6: Final answer
    x = 41,059.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.