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Finding the Third Proportional to 26,973 and 29,794.50

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Solution

The third proportional to 26,973 and 29,794.50 is: 32,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973 : 29,794.50 = 29,794.50 : x
  2. Step 2: Convert to fraction form
    26,973/29,794.50 = 29,794.50/x
  3. Step 3: Cross multiply
    26,973x = 29,794.50 × 29,794.50
  4. Step 4: Simplify right side
    26,973x = 887,712,230.25
  5. Step 5: Solve for x
    x = 887,712,230.25/26,973
  6. Step 6: Final answer
    x = 32,911.14

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.