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Finding the Third Proportional to 17,316 and 27,124

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Solution

The third proportional to 17,316 and 27,124 is: 42,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,316 : 27,124 = 27,124 : x
  2. Step 2: Convert to fraction form
    17,316/27,124 = 27,124/x
  3. Step 3: Cross multiply
    17,316x = 27,124 × 27,124
  4. Step 4: Simplify right side
    17,316x = 735,711,376
  5. Step 5: Solve for x
    x = 735,711,376/17,316
  6. Step 6: Final answer
    x = 42,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.