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Finding the Third Proportional to 20,454 and 32,329

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Solution

The third proportional to 20,454 and 32,329 is: 51,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 32,329 = 32,329 : x
  2. Step 2: Convert to fraction form
    20,454/32,329 = 32,329/x
  3. Step 3: Cross multiply
    20,454x = 32,329 × 32,329
  4. Step 4: Simplify right side
    20,454x = 1,045,164,241
  5. Step 5: Solve for x
    x = 1,045,164,241/20,454
  6. Step 6: Final answer
    x = 51,098.28

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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.