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Finding the Third Proportional to 15,316 and 17,548

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Solution

The third proportional to 15,316 and 17,548 is: 20,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316 : 17,548 = 17,548 : x
  2. Step 2: Convert to fraction form
    15,316/17,548 = 17,548/x
  3. Step 3: Cross multiply
    15,316x = 17,548 × 17,548
  4. Step 4: Simplify right side
    15,316x = 307,932,304
  5. Step 5: Solve for x
    x = 307,932,304/15,316
  6. Step 6: Final answer
    x = 20,105.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.