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Finding the Third Proportional to 20,461 and 32,348

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Solution

The third proportional to 20,461 and 32,348 is: 51,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461 : 32,348 = 32,348 : x
  2. Step 2: Convert to fraction form
    20,461/32,348 = 32,348/x
  3. Step 3: Cross multiply
    20,461x = 32,348 × 32,348
  4. Step 4: Simplify right side
    20,461x = 1,046,393,104
  5. Step 5: Solve for x
    x = 1,046,393,104/20,461
  6. Step 6: Final answer
    x = 51,140.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.