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Finding the Third Proportional to 21,482 and 43,570

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Solution

The third proportional to 21,482 and 43,570 is: 88,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482 : 43,570 = 43,570 : x
  2. Step 2: Convert to fraction form
    21,482/43,570 = 43,570/x
  3. Step 3: Cross multiply
    21,482x = 43,570 × 43,570
  4. Step 4: Simplify right side
    21,482x = 1,898,344,900
  5. Step 5: Solve for x
    x = 1,898,344,900/21,482
  6. Step 6: Final answer
    x = 88,369.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.