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Finding the Third Proportional to 21,064 and 46,520

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Solution

The third proportional to 21,064 and 46,520 is: 102,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064 : 46,520 = 46,520 : x
  2. Step 2: Convert to fraction form
    21,064/46,520 = 46,520/x
  3. Step 3: Cross multiply
    21,064x = 46,520 × 46,520
  4. Step 4: Simplify right side
    21,064x = 2,164,110,400
  5. Step 5: Solve for x
    x = 2,164,110,400/21,064
  6. Step 6: Final answer
    x = 102,739.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.