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Finding the Third Proportional to 27,490 and 41,071

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Solution

The third proportional to 27,490 and 41,071 is: 61,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490 : 41,071 = 41,071 : x
  2. Step 2: Convert to fraction form
    27,490/41,071 = 41,071/x
  3. Step 3: Cross multiply
    27,490x = 41,071 × 41,071
  4. Step 4: Simplify right side
    27,490x = 1,686,827,041
  5. Step 5: Solve for x
    x = 1,686,827,041/27,490
  6. Step 6: Final answer
    x = 61,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.