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Finding the Third Proportional to 24,970 and 54,313

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Solution

The third proportional to 24,970 and 54,313 is: 118,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970 : 54,313 = 54,313 : x
  2. Step 2: Convert to fraction form
    24,970/54,313 = 54,313/x
  3. Step 3: Cross multiply
    24,970x = 54,313 × 54,313
  4. Step 4: Simplify right side
    24,970x = 2,949,901,969
  5. Step 5: Solve for x
    x = 2,949,901,969/24,970
  6. Step 6: Final answer
    x = 118,137.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.