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Finding the Third Proportional to 24,289 and 52,303

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Solution

The third proportional to 24,289 and 52,303 is: 112,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289 : 52,303 = 52,303 : x
  2. Step 2: Convert to fraction form
    24,289/52,303 = 52,303/x
  3. Step 3: Cross multiply
    24,289x = 52,303 × 52,303
  4. Step 4: Simplify right side
    24,289x = 2,735,603,809
  5. Step 5: Solve for x
    x = 2,735,603,809/24,289
  6. Step 6: Final answer
    x = 112,627.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.