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Finding the Third Proportional to 26,819 and 60,476

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Solution

The third proportional to 26,819 and 60,476 is: 136,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,819 : 60,476 = 60,476 : x
  2. Step 2: Convert to fraction form
    26,819/60,476 = 60,476/x
  3. Step 3: Cross multiply
    26,819x = 60,476 × 60,476
  4. Step 4: Simplify right side
    26,819x = 3,657,346,576
  5. Step 5: Solve for x
    x = 3,657,346,576/26,819
  6. Step 6: Final answer
    x = 136,371.47

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.