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Finding the Third Proportional to 30,349.69 and 40,535.44

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Solution

The third proportional to 30,349.69 and 40,535.44 is: 54,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,349.69 : 40,535.44 = 40,535.44 : x
  2. Step 2: Convert to fraction form
    30,349.69/40,535.44 = 40,535.44/x
  3. Step 3: Cross multiply
    30,349.69x = 40,535.44 × 40,535.44
  4. Step 4: Simplify right side
    30,349.69x = 1,643,121,693.32
  5. Step 5: Solve for x
    x = 1,643,121,693.32/30,349.69
  6. Step 6: Final answer
    x = 54,139.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.