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Finding the Third Proportional to 19,370 and 28,696

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Solution

The third proportional to 19,370 and 28,696 is: 42,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370 : 28,696 = 28,696 : x
  2. Step 2: Convert to fraction form
    19,370/28,696 = 28,696/x
  3. Step 3: Cross multiply
    19,370x = 28,696 × 28,696
  4. Step 4: Simplify right side
    19,370x = 823,460,416
  5. Step 5: Solve for x
    x = 823,460,416/19,370
  6. Step 6: Final answer
    x = 42,512.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.