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Finding the Third Proportional to 20,454 and 32,625

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Solution

The third proportional to 20,454 and 32,625 is: 52,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 32,625 = 32,625 : x
  2. Step 2: Convert to fraction form
    20,454/32,625 = 32,625/x
  3. Step 3: Cross multiply
    20,454x = 32,625 × 32,625
  4. Step 4: Simplify right side
    20,454x = 1,064,390,625
  5. Step 5: Solve for x
    x = 1,064,390,625/20,454
  6. Step 6: Final answer
    x = 52,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.