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Finding the Third Proportional to 9,946.13 and 15,379.88

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Solution

The third proportional to 9,946.13 and 15,379.88 is: 23,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.13 : 15,379.88 = 15,379.88 : x
  2. Step 2: Convert to fraction form
    9,946.13/15,379.88 = 15,379.88/x
  3. Step 3: Cross multiply
    9,946.13x = 15,379.88 × 15,379.88
  4. Step 4: Simplify right side
    9,946.13x = 236,540,555.02
  5. Step 5: Solve for x
    x = 236,540,555.02/9,946.13
  6. Step 6: Final answer
    x = 23,782.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.