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Finding the Third Proportional to 38,530.69 and 42,175.69

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Solution

The third proportional to 38,530.69 and 42,175.69 is: 46,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530.69 : 42,175.69 = 42,175.69 : x
  2. Step 2: Convert to fraction form
    38,530.69/42,175.69 = 42,175.69/x
  3. Step 3: Cross multiply
    38,530.69x = 42,175.69 × 42,175.69
  4. Step 4: Simplify right side
    38,530.69x = 1,778,788,616.10
  5. Step 5: Solve for x
    x = 1,778,788,616.10/38,530.69
  6. Step 6: Final answer
    x = 46,165.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.