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Finding the Third Proportional to 29,313 and 42,993

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Solution

The third proportional to 29,313 and 42,993 is: 63,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,313 : 42,993 = 42,993 : x
  2. Step 2: Convert to fraction form
    29,313/42,993 = 42,993/x
  3. Step 3: Cross multiply
    29,313x = 42,993 × 42,993
  4. Step 4: Simplify right side
    29,313x = 1,848,398,049
  5. Step 5: Solve for x
    x = 1,848,398,049/29,313
  6. Step 6: Final answer
    x = 63,057.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.