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Finding the Third Proportional to 31,824 and 74,313

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Solution

The third proportional to 31,824 and 74,313 is: 173,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824 : 74,313 = 74,313 : x
  2. Step 2: Convert to fraction form
    31,824/74,313 = 74,313/x
  3. Step 3: Cross multiply
    31,824x = 74,313 × 74,313
  4. Step 4: Simplify right side
    31,824x = 5,522,421,969
  5. Step 5: Solve for x
    x = 5,522,421,969/31,824
  6. Step 6: Final answer
    x = 173,530.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.