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Finding the Third Proportional to 23,482 and 48,044

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Solution

The third proportional to 23,482 and 48,044 is: 98,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482 : 48,044 = 48,044 : x
  2. Step 2: Convert to fraction form
    23,482/48,044 = 48,044/x
  3. Step 3: Cross multiply
    23,482x = 48,044 × 48,044
  4. Step 4: Simplify right side
    23,482x = 2,308,225,936
  5. Step 5: Solve for x
    x = 2,308,225,936/23,482
  6. Step 6: Final answer
    x = 98,297.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.