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Finding the Third Proportional to 34,502.63 and 76,838.63

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Solution

The third proportional to 34,502.63 and 76,838.63 is: 171,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.63 : 76,838.63 = 76,838.63 : x
  2. Step 2: Convert to fraction form
    34,502.63/76,838.63 = 76,838.63/x
  3. Step 3: Cross multiply
    34,502.63x = 76,838.63 × 76,838.63
  4. Step 4: Simplify right side
    34,502.63x = 5,904,174,291.89
  5. Step 5: Solve for x
    x = 5,904,174,291.89/34,502.63
  6. Step 6: Final answer
    x = 171,122.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.