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Finding the Third Proportional to 19,206 and 30,574

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Solution

The third proportional to 19,206 and 30,574 is: 48,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 30,574 = 30,574 : x
  2. Step 2: Convert to fraction form
    19,206/30,574 = 30,574/x
  3. Step 3: Cross multiply
    19,206x = 30,574 × 30,574
  4. Step 4: Simplify right side
    19,206x = 934,769,476
  5. Step 5: Solve for x
    x = 934,769,476/19,206
  6. Step 6: Final answer
    x = 48,670.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.