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Finding the Third Proportional to 19,197 and 29,706.75

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Solution

The third proportional to 19,197 and 29,706.75 is: 45,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 29,706.75 = 29,706.75 : x
  2. Step 2: Convert to fraction form
    19,197/29,706.75 = 29,706.75/x
  3. Step 3: Cross multiply
    19,197x = 29,706.75 × 29,706.75
  4. Step 4: Simplify right side
    19,197x = 882,490,995.56
  5. Step 5: Solve for x
    x = 882,490,995.56/19,197
  6. Step 6: Final answer
    x = 45,970.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.