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Finding the Third Proportional to 15,580 and 17,794

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Solution

The third proportional to 15,580 and 17,794 is: 20,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580 : 17,794 = 17,794 : x
  2. Step 2: Convert to fraction form
    15,580/17,794 = 17,794/x
  3. Step 3: Cross multiply
    15,580x = 17,794 × 17,794
  4. Step 4: Simplify right side
    15,580x = 316,626,436
  5. Step 5: Solve for x
    x = 316,626,436/15,580
  6. Step 6: Final answer
    x = 20,322.62

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.