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Finding the Third Proportional to 19,697.50 and 29,237

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Solution

The third proportional to 19,697.50 and 29,237 is: 43,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.50 : 29,237 = 29,237 : x
  2. Step 2: Convert to fraction form
    19,697.50/29,237 = 29,237/x
  3. Step 3: Cross multiply
    19,697.50x = 29,237 × 29,237
  4. Step 4: Simplify right side
    19,697.50x = 854,802,169
  5. Step 5: Solve for x
    x = 854,802,169/19,697.50
  6. Step 6: Final answer
    x = 43,396.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.