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Finding the Third Proportional to 32,608 and 46,640

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Solution

The third proportional to 32,608 and 46,640 is: 66,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,608 : 46,640 = 46,640 : x
  2. Step 2: Convert to fraction form
    32,608/46,640 = 46,640/x
  3. Step 3: Cross multiply
    32,608x = 46,640 × 46,640
  4. Step 4: Simplify right side
    32,608x = 2,175,289,600
  5. Step 5: Solve for x
    x = 2,175,289,600/32,608
  6. Step 6: Final answer
    x = 66,710.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.