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Finding the Third Proportional to 7,642 and 16,058

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Solution

The third proportional to 7,642 and 16,058 is: 33,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 16,058 = 16,058 : x
  2. Step 2: Convert to fraction form
    7,642/16,058 = 16,058/x
  3. Step 3: Cross multiply
    7,642x = 16,058 × 16,058
  4. Step 4: Simplify right side
    7,642x = 257,859,364
  5. Step 5: Solve for x
    x = 257,859,364/7,642
  6. Step 6: Final answer
    x = 33,742.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.