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Finding the Third Proportional to 10,167.75 and 20,830.94

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Solution

The third proportional to 10,167.75 and 20,830.94 is: 42,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.75 : 20,830.94 = 20,830.94 : x
  2. Step 2: Convert to fraction form
    10,167.75/20,830.94 = 20,830.94/x
  3. Step 3: Cross multiply
    10,167.75x = 20,830.94 × 20,830.94
  4. Step 4: Simplify right side
    10,167.75x = 433,927,957.13
  5. Step 5: Solve for x
    x = 433,927,957.13/10,167.75
  6. Step 6: Final answer
    x = 42,676.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.