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Finding the Third Proportional to 19,704 and 29,575.50

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Solution

The third proportional to 19,704 and 29,575.50 is: 44,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 29,575.50 = 29,575.50 : x
  2. Step 2: Convert to fraction form
    19,704/29,575.50 = 29,575.50/x
  3. Step 3: Cross multiply
    19,704x = 29,575.50 × 29,575.50
  4. Step 4: Simplify right side
    19,704x = 874,710,200.25
  5. Step 5: Solve for x
    x = 874,710,200.25/19,704
  6. Step 6: Final answer
    x = 44,392.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.