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Finding the Third Proportional to 34,642.69 and 53,009.44

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Solution

The third proportional to 34,642.69 and 53,009.44 is: 81,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.69 : 53,009.44 = 53,009.44 : x
  2. Step 2: Convert to fraction form
    34,642.69/53,009.44 = 53,009.44/x
  3. Step 3: Cross multiply
    34,642.69x = 53,009.44 × 53,009.44
  4. Step 4: Simplify right side
    34,642.69x = 2,810,000,464.07
  5. Step 5: Solve for x
    x = 2,810,000,464.07/34,642.69
  6. Step 6: Final answer
    x = 81,113.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.