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Finding the Third Proportional to 32,388 and 50,028

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Solution

The third proportional to 32,388 and 50,028 is: 77,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388 : 50,028 = 50,028 : x
  2. Step 2: Convert to fraction form
    32,388/50,028 = 50,028/x
  3. Step 3: Cross multiply
    32,388x = 50,028 × 50,028
  4. Step 4: Simplify right side
    32,388x = 2,502,800,784
  5. Step 5: Solve for x
    x = 2,502,800,784/32,388
  6. Step 6: Final answer
    x = 77,275.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.