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Finding the Third Proportional to 19,605 and 29,584.50

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Solution

The third proportional to 19,605 and 29,584.50 is: 44,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605 : 29,584.50 = 29,584.50 : x
  2. Step 2: Convert to fraction form
    19,605/29,584.50 = 29,584.50/x
  3. Step 3: Cross multiply
    19,605x = 29,584.50 × 29,584.50
  4. Step 4: Simplify right side
    19,605x = 875,242,640.25
  5. Step 5: Solve for x
    x = 875,242,640.25/19,605
  6. Step 6: Final answer
    x = 44,643.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.