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Finding the Third Proportional to 26,322 and 58,476

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Solution

The third proportional to 26,322 and 58,476 is: 129,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322 : 58,476 = 58,476 : x
  2. Step 2: Convert to fraction form
    26,322/58,476 = 58,476/x
  3. Step 3: Cross multiply
    26,322x = 58,476 × 58,476
  4. Step 4: Simplify right side
    26,322x = 3,419,442,576
  5. Step 5: Solve for x
    x = 3,419,442,576/26,322
  6. Step 6: Final answer
    x = 129,908.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.