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Finding the Third Proportional to 24,617 and 35,832

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Solution

The third proportional to 24,617 and 35,832 is: 52,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617 : 35,832 = 35,832 : x
  2. Step 2: Convert to fraction form
    24,617/35,832 = 35,832/x
  3. Step 3: Cross multiply
    24,617x = 35,832 × 35,832
  4. Step 4: Simplify right side
    24,617x = 1,283,932,224
  5. Step 5: Solve for x
    x = 1,283,932,224/24,617
  6. Step 6: Final answer
    x = 52,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.