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Finding the Third Proportional to 31,024 and 44,313

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Solution

The third proportional to 31,024 and 44,313 is: 63,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024 : 44,313 = 44,313 : x
  2. Step 2: Convert to fraction form
    31,024/44,313 = 44,313/x
  3. Step 3: Cross multiply
    31,024x = 44,313 × 44,313
  4. Step 4: Simplify right side
    31,024x = 1,963,641,969
  5. Step 5: Solve for x
    x = 1,963,641,969/31,024
  6. Step 6: Final answer
    x = 63,294.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.