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Finding the Third Proportional to 20,178 and 32,953

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Solution

The third proportional to 20,178 and 32,953 is: 53,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 32,953 = 32,953 : x
  2. Step 2: Convert to fraction form
    20,178/32,953 = 32,953/x
  3. Step 3: Cross multiply
    20,178x = 32,953 × 32,953
  4. Step 4: Simplify right side
    20,178x = 1,085,900,209
  5. Step 5: Solve for x
    x = 1,085,900,209/20,178
  6. Step 6: Final answer
    x = 53,816.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.