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Finding the Third Proportional to 29,349 and 62,852.63

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Solution

The third proportional to 29,349 and 62,852.63 is: 134,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,349 : 62,852.63 = 62,852.63 : x
  2. Step 2: Convert to fraction form
    29,349/62,852.63 = 62,852.63/x
  3. Step 3: Cross multiply
    29,349x = 62,852.63 × 62,852.63
  4. Step 4: Simplify right side
    29,349x = 3,950,452,469.39
  5. Step 5: Solve for x
    x = 3,950,452,469.39/29,349
  6. Step 6: Final answer
    x = 134,602.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.