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Finding the Third Proportional to 14,802 and 17,970

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Solution

The third proportional to 14,802 and 17,970 is: 21,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802 : 17,970 = 17,970 : x
  2. Step 2: Convert to fraction form
    14,802/17,970 = 17,970/x
  3. Step 3: Cross multiply
    14,802x = 17,970 × 17,970
  4. Step 4: Simplify right side
    14,802x = 322,920,900
  5. Step 5: Solve for x
    x = 322,920,900/14,802
  6. Step 6: Final answer
    x = 21,816.03

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.