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Finding the Third Proportional to 19,333 and 25,705.50

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Solution

The third proportional to 19,333 and 25,705.50 is: 34,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333 : 25,705.50 = 25,705.50 : x
  2. Step 2: Convert to fraction form
    19,333/25,705.50 = 25,705.50/x
  3. Step 3: Cross multiply
    19,333x = 25,705.50 × 25,705.50
  4. Step 4: Simplify right side
    19,333x = 660,772,730.25
  5. Step 5: Solve for x
    x = 660,772,730.25/19,333
  6. Step 6: Final answer
    x = 34,178.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.