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Finding the Third Proportional to 27,580 and 43,692

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Solution

The third proportional to 27,580 and 43,692 is: 69,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580 : 43,692 = 43,692 : x
  2. Step 2: Convert to fraction form
    27,580/43,692 = 43,692/x
  3. Step 3: Cross multiply
    27,580x = 43,692 × 43,692
  4. Step 4: Simplify right side
    27,580x = 1,908,990,864
  5. Step 5: Solve for x
    x = 1,908,990,864/27,580
  6. Step 6: Final answer
    x = 69,216.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.