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Finding the Third Proportional to 29,004.75 and 54,830.25

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Solution

The third proportional to 29,004.75 and 54,830.25 is: 103,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,004.75 : 54,830.25 = 54,830.25 : x
  2. Step 2: Convert to fraction form
    29,004.75/54,830.25 = 54,830.25/x
  3. Step 3: Cross multiply
    29,004.75x = 54,830.25 × 54,830.25
  4. Step 4: Simplify right side
    29,004.75x = 3,006,356,315.06
  5. Step 5: Solve for x
    x = 3,006,356,315.06/29,004.75
  6. Step 6: Final answer
    x = 103,650.48

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.