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Finding the Third Proportional to 19,970 and 21,890

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Solution

The third proportional to 19,970 and 21,890 is: 23,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 21,890 = 21,890 : x
  2. Step 2: Convert to fraction form
    19,970/21,890 = 21,890/x
  3. Step 3: Cross multiply
    19,970x = 21,890 × 21,890
  4. Step 4: Simplify right side
    19,970x = 479,172,100
  5. Step 5: Solve for x
    x = 479,172,100/19,970
  6. Step 6: Final answer
    x = 23,994.60

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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.