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Finding the Third Proportional to 27,046 and 41,597

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Solution

The third proportional to 27,046 and 41,597 is: 63,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046 : 41,597 = 41,597 : x
  2. Step 2: Convert to fraction form
    27,046/41,597 = 41,597/x
  3. Step 3: Cross multiply
    27,046x = 41,597 × 41,597
  4. Step 4: Simplify right side
    27,046x = 1,730,310,409
  5. Step 5: Solve for x
    x = 1,730,310,409/27,046
  6. Step 6: Final answer
    x = 63,976.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.