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Finding the Third Proportional to 19,470 and 21,390

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Solution

The third proportional to 19,470 and 21,390 is: 23,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,470 : 21,390 = 21,390 : x
  2. Step 2: Convert to fraction form
    19,470/21,390 = 21,390/x
  3. Step 3: Cross multiply
    19,470x = 21,390 × 21,390
  4. Step 4: Simplify right side
    19,470x = 457,532,100
  5. Step 5: Solve for x
    x = 457,532,100/19,470
  6. Step 6: Final answer
    x = 23,499.34

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.