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Finding the Third Proportional to 21,678 and 47,058

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Solution

The third proportional to 21,678 and 47,058 is: 102,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 47,058 = 47,058 : x
  2. Step 2: Convert to fraction form
    21,678/47,058 = 47,058/x
  3. Step 3: Cross multiply
    21,678x = 47,058 × 47,058
  4. Step 4: Simplify right side
    21,678x = 2,214,455,364
  5. Step 5: Solve for x
    x = 2,214,455,364/21,678
  6. Step 6: Final answer
    x = 102,152.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.