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Finding the Third Proportional to 36,128 and 48,324

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Solution

The third proportional to 36,128 and 48,324 is: 64,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,128 : 48,324 = 48,324 : x
  2. Step 2: Convert to fraction form
    36,128/48,324 = 48,324/x
  3. Step 3: Cross multiply
    36,128x = 48,324 × 48,324
  4. Step 4: Simplify right side
    36,128x = 2,335,208,976
  5. Step 5: Solve for x
    x = 2,335,208,976/36,128
  6. Step 6: Final answer
    x = 64,637.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.