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Finding the Third Proportional to 32,012.75 and 34,883.25

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Solution

The third proportional to 32,012.75 and 34,883.25 is: 38,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.75 : 34,883.25 = 34,883.25 : x
  2. Step 2: Convert to fraction form
    32,012.75/34,883.25 = 34,883.25/x
  3. Step 3: Cross multiply
    32,012.75x = 34,883.25 × 34,883.25
  4. Step 4: Simplify right side
    32,012.75x = 1,216,841,130.56
  5. Step 5: Solve for x
    x = 1,216,841,130.56/32,012.75
  6. Step 6: Final answer
    x = 38,011.14

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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.