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Finding the Third Proportional to 19,197 and 29,646

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Solution

The third proportional to 19,197 and 29,646 is: 45,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 29,646 = 29,646 : x
  2. Step 2: Convert to fraction form
    19,197/29,646 = 29,646/x
  3. Step 3: Cross multiply
    19,197x = 29,646 × 29,646
  4. Step 4: Simplify right side
    19,197x = 878,885,316
  5. Step 5: Solve for x
    x = 878,885,316/19,197
  6. Step 6: Final answer
    x = 45,782.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.