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Finding the Third Proportional to 9,823 and 15,029

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Solution

The third proportional to 9,823 and 15,029 is: 22,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 15,029 = 15,029 : x
  2. Step 2: Convert to fraction form
    9,823/15,029 = 15,029/x
  3. Step 3: Cross multiply
    9,823x = 15,029 × 15,029
  4. Step 4: Simplify right side
    9,823x = 225,870,841
  5. Step 5: Solve for x
    x = 225,870,841/9,823
  6. Step 6: Final answer
    x = 22,994.08

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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.