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Finding the Third Proportional to 23,024 and 35,553

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Solution

The third proportional to 23,024 and 35,553 is: 54,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024 : 35,553 = 35,553 : x
  2. Step 2: Convert to fraction form
    23,024/35,553 = 35,553/x
  3. Step 3: Cross multiply
    23,024x = 35,553 × 35,553
  4. Step 4: Simplify right side
    23,024x = 1,264,015,809
  5. Step 5: Solve for x
    x = 1,264,015,809/23,024
  6. Step 6: Final answer
    x = 54,899.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.