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Finding the Third Proportional to 19,132 and 28,070

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Solution

The third proportional to 19,132 and 28,070 is: 41,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132 : 28,070 = 28,070 : x
  2. Step 2: Convert to fraction form
    19,132/28,070 = 28,070/x
  3. Step 3: Cross multiply
    19,132x = 28,070 × 28,070
  4. Step 4: Simplify right side
    19,132x = 787,924,900
  5. Step 5: Solve for x
    x = 787,924,900/19,132
  6. Step 6: Final answer
    x = 41,183.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.