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Finding the Third Proportional to 19,740 and 29,308

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Solution

The third proportional to 19,740 and 29,308 is: 43,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 29,308 = 29,308 : x
  2. Step 2: Convert to fraction form
    19,740/29,308 = 29,308/x
  3. Step 3: Cross multiply
    19,740x = 29,308 × 29,308
  4. Step 4: Simplify right side
    19,740x = 858,958,864
  5. Step 5: Solve for x
    x = 858,958,864/19,740
  6. Step 6: Final answer
    x = 43,513.62

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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.