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Finding the Third Proportional to 24,709 and 54,943

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Solution

The third proportional to 24,709 and 54,943 is: 122,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709 : 54,943 = 54,943 : x
  2. Step 2: Convert to fraction form
    24,709/54,943 = 54,943/x
  3. Step 3: Cross multiply
    24,709x = 54,943 × 54,943
  4. Step 4: Simplify right side
    24,709x = 3,018,733,249
  5. Step 5: Solve for x
    x = 3,018,733,249/24,709
  6. Step 6: Final answer
    x = 122,171.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.