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Finding the Third Proportional to 32,107.13 and 51,274.13

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Solution

The third proportional to 32,107.13 and 51,274.13 is: 81,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.13 : 51,274.13 = 51,274.13 : x
  2. Step 2: Convert to fraction form
    32,107.13/51,274.13 = 51,274.13/x
  3. Step 3: Cross multiply
    32,107.13x = 51,274.13 × 51,274.13
  4. Step 4: Simplify right side
    32,107.13x = 2,629,035,894.52
  5. Step 5: Solve for x
    x = 2,629,035,894.52/32,107.13
  6. Step 6: Final answer
    x = 81,883.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.