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Finding the Third Proportional to 9,770 and 14,979

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Solution

The third proportional to 9,770 and 14,979 is: 22,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 14,979 = 14,979 : x
  2. Step 2: Convert to fraction form
    9,770/14,979 = 14,979/x
  3. Step 3: Cross multiply
    9,770x = 14,979 × 14,979
  4. Step 4: Simplify right side
    9,770x = 224,370,441
  5. Step 5: Solve for x
    x = 224,370,441/9,770
  6. Step 6: Final answer
    x = 22,965.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.