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Finding the Third Proportional to 9,769.50 and 15,138

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Solution

The third proportional to 9,769.50 and 15,138 is: 23,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.50 : 15,138 = 15,138 : x
  2. Step 2: Convert to fraction form
    9,769.50/15,138 = 15,138/x
  3. Step 3: Cross multiply
    9,769.50x = 15,138 × 15,138
  4. Step 4: Simplify right side
    9,769.50x = 229,159,044
  5. Step 5: Solve for x
    x = 229,159,044/9,769.50
  6. Step 6: Final answer
    x = 23,456.58

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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.