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Finding the Third Proportional to 32,468 and 50,135

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Solution

The third proportional to 32,468 and 50,135 is: 77,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468 : 50,135 = 50,135 : x
  2. Step 2: Convert to fraction form
    32,468/50,135 = 50,135/x
  3. Step 3: Cross multiply
    32,468x = 50,135 × 50,135
  4. Step 4: Simplify right side
    32,468x = 2,513,518,225
  5. Step 5: Solve for x
    x = 2,513,518,225/32,468
  6. Step 6: Final answer
    x = 77,415.25

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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.