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Finding the Third Proportional to 27,410 and 64,085

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Solution

The third proportional to 27,410 and 64,085 is: 149,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410 : 64,085 = 64,085 : x
  2. Step 2: Convert to fraction form
    27,410/64,085 = 64,085/x
  3. Step 3: Cross multiply
    27,410x = 64,085 × 64,085
  4. Step 4: Simplify right side
    27,410x = 4,106,887,225
  5. Step 5: Solve for x
    x = 4,106,887,225/27,410
  6. Step 6: Final answer
    x = 149,831.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.