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Finding the Third Proportional to 24,451 and 53,653

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Solution

The third proportional to 24,451 and 53,653 is: 117,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451 : 53,653 = 53,653 : x
  2. Step 2: Convert to fraction form
    24,451/53,653 = 53,653/x
  3. Step 3: Cross multiply
    24,451x = 53,653 × 53,653
  4. Step 4: Simplify right side
    24,451x = 2,878,644,409
  5. Step 5: Solve for x
    x = 2,878,644,409/24,451
  6. Step 6: Final answer
    x = 117,731.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.