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Finding the Third Proportional to 34,832 and 77,440

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Solution

The third proportional to 34,832 and 77,440 is: 172,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,832 : 77,440 = 77,440 : x
  2. Step 2: Convert to fraction form
    34,832/77,440 = 77,440/x
  3. Step 3: Cross multiply
    34,832x = 77,440 × 77,440
  4. Step 4: Simplify right side
    34,832x = 5,996,953,600
  5. Step 5: Solve for x
    x = 5,996,953,600/34,832
  6. Step 6: Final answer
    x = 172,167.94

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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.