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Finding the Third Proportional to 20,164 and 27,465

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Solution

The third proportional to 20,164 and 27,465 is: 37,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 27,465 = 27,465 : x
  2. Step 2: Convert to fraction form
    20,164/27,465 = 27,465/x
  3. Step 3: Cross multiply
    20,164x = 27,465 × 27,465
  4. Step 4: Simplify right side
    20,164x = 754,326,225
  5. Step 5: Solve for x
    x = 754,326,225/20,164
  6. Step 6: Final answer
    x = 37,409.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.