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Finding the Third Proportional to 10,370 and 19,270

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Solution

The third proportional to 10,370 and 19,270 is: 35,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370 : 19,270 = 19,270 : x
  2. Step 2: Convert to fraction form
    10,370/19,270 = 19,270/x
  3. Step 3: Cross multiply
    10,370x = 19,270 × 19,270
  4. Step 4: Simplify right side
    10,370x = 371,332,900
  5. Step 5: Solve for x
    x = 371,332,900/10,370
  6. Step 6: Final answer
    x = 35,808.38

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.