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Finding the Third Proportional to 22,983.75 and 48,303

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Solution

The third proportional to 22,983.75 and 48,303 is: 101,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.75 : 48,303 = 48,303 : x
  2. Step 2: Convert to fraction form
    22,983.75/48,303 = 48,303/x
  3. Step 3: Cross multiply
    22,983.75x = 48,303 × 48,303
  4. Step 4: Simplify right side
    22,983.75x = 2,333,179,809
  5. Step 5: Solve for x
    x = 2,333,179,809/22,983.75
  6. Step 6: Final answer
    x = 101,514.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.