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Finding the Third Proportional to 32,727 and 49,364.25

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Solution

The third proportional to 32,727 and 49,364.25 is: 74,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727 : 49,364.25 = 49,364.25 : x
  2. Step 2: Convert to fraction form
    32,727/49,364.25 = 49,364.25/x
  3. Step 3: Cross multiply
    32,727x = 49,364.25 × 49,364.25
  4. Step 4: Simplify right side
    32,727x = 2,436,829,178.06
  5. Step 5: Solve for x
    x = 2,436,829,178.06/32,727
  6. Step 6: Final answer
    x = 74,459.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.