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Finding the Third Proportional to 20,412 and 32,490

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Solution

The third proportional to 20,412 and 32,490 is: 51,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412 : 32,490 = 32,490 : x
  2. Step 2: Convert to fraction form
    20,412/32,490 = 32,490/x
  3. Step 3: Cross multiply
    20,412x = 32,490 × 32,490
  4. Step 4: Simplify right side
    20,412x = 1,055,600,100
  5. Step 5: Solve for x
    x = 1,055,600,100/20,412
  6. Step 6: Final answer
    x = 51,714.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.