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Finding the Third Proportional to 20,952 and 32,157

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Solution

The third proportional to 20,952 and 32,157 is: 49,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 32,157 = 32,157 : x
  2. Step 2: Convert to fraction form
    20,952/32,157 = 32,157/x
  3. Step 3: Cross multiply
    20,952x = 32,157 × 32,157
  4. Step 4: Simplify right side
    20,952x = 1,034,072,649
  5. Step 5: Solve for x
    x = 1,034,072,649/20,952
  6. Step 6: Final answer
    x = 49,354.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.