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Finding the Third Proportional to 24,309 and 52,768

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Solution

The third proportional to 24,309 and 52,768 is: 114,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309 : 52,768 = 52,768 : x
  2. Step 2: Convert to fraction form
    24,309/52,768 = 52,768/x
  3. Step 3: Cross multiply
    24,309x = 52,768 × 52,768
  4. Step 4: Simplify right side
    24,309x = 2,784,461,824
  5. Step 5: Solve for x
    x = 2,784,461,824/24,309
  6. Step 6: Final answer
    x = 114,544.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.