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Finding the Third Proportional to 34,697.25 and 38,342.25

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Solution

The third proportional to 34,697.25 and 38,342.25 is: 42,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,697.25 : 38,342.25 = 38,342.25 : x
  2. Step 2: Convert to fraction form
    34,697.25/38,342.25 = 38,342.25/x
  3. Step 3: Cross multiply
    34,697.25x = 38,342.25 × 38,342.25
  4. Step 4: Simplify right side
    34,697.25x = 1,470,128,135.06
  5. Step 5: Solve for x
    x = 1,470,128,135.06/34,697.25
  6. Step 6: Final answer
    x = 42,370.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.