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Finding the Third Proportional to 10,828.69 and 22,383.84

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Solution

The third proportional to 10,828.69 and 22,383.84 is: 46,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.69 : 22,383.84 = 22,383.84 : x
  2. Step 2: Convert to fraction form
    10,828.69/22,383.84 = 22,383.84/x
  3. Step 3: Cross multiply
    10,828.69x = 22,383.84 × 22,383.84
  4. Step 4: Simplify right side
    10,828.69x = 501,036,461.02
  5. Step 5: Solve for x
    x = 501,036,461.02/10,828.69
  6. Step 6: Final answer
    x = 46,269.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.