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Finding the Third Proportional to 32,640 and 49,328

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Solution

The third proportional to 32,640 and 49,328 is: 74,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 49,328 = 49,328 : x
  2. Step 2: Convert to fraction form
    32,640/49,328 = 49,328/x
  3. Step 3: Cross multiply
    32,640x = 49,328 × 49,328
  4. Step 4: Simplify right side
    32,640x = 2,433,251,584
  5. Step 5: Solve for x
    x = 2,433,251,584/32,640
  6. Step 6: Final answer
    x = 74,548.15

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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.