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Finding the Third Proportional to 19,580 and 29,828

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Solution

The third proportional to 19,580 and 29,828 is: 45,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580 : 29,828 = 29,828 : x
  2. Step 2: Convert to fraction form
    19,580/29,828 = 29,828/x
  3. Step 3: Cross multiply
    19,580x = 29,828 × 29,828
  4. Step 4: Simplify right side
    19,580x = 889,709,584
  5. Step 5: Solve for x
    x = 889,709,584/19,580
  6. Step 6: Final answer
    x = 45,439.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.