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Finding the Third Proportional to 19,642 and 29,082

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Solution

The third proportional to 19,642 and 29,082 is: 43,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642 : 29,082 = 29,082 : x
  2. Step 2: Convert to fraction form
    19,642/29,082 = 29,082/x
  3. Step 3: Cross multiply
    19,642x = 29,082 × 29,082
  4. Step 4: Simplify right side
    19,642x = 845,762,724
  5. Step 5: Solve for x
    x = 845,762,724/19,642
  6. Step 6: Final answer
    x = 43,058.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.