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Finding the Third Proportional to 19,668 and 28,770

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Solution

The third proportional to 19,668 and 28,770 is: 42,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668 : 28,770 = 28,770 : x
  2. Step 2: Convert to fraction form
    19,668/28,770 = 28,770/x
  3. Step 3: Cross multiply
    19,668x = 28,770 × 28,770
  4. Step 4: Simplify right side
    19,668x = 827,712,900
  5. Step 5: Solve for x
    x = 827,712,900/19,668
  6. Step 6: Final answer
    x = 42,084.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.