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Finding the Third Proportional to 19,350 and 41,070

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Solution

The third proportional to 19,350 and 41,070 is: 87,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 41,070 = 41,070 : x
  2. Step 2: Convert to fraction form
    19,350/41,070 = 41,070/x
  3. Step 3: Cross multiply
    19,350x = 41,070 × 41,070
  4. Step 4: Simplify right side
    19,350x = 1,686,744,900
  5. Step 5: Solve for x
    x = 1,686,744,900/19,350
  6. Step 6: Final answer
    x = 87,170.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.