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Finding the Third Proportional to 32,916 and 46,576

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Solution

The third proportional to 32,916 and 46,576 is: 65,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916 : 46,576 = 46,576 : x
  2. Step 2: Convert to fraction form
    32,916/46,576 = 46,576/x
  3. Step 3: Cross multiply
    32,916x = 46,576 × 46,576
  4. Step 4: Simplify right side
    32,916x = 2,169,323,776
  5. Step 5: Solve for x
    x = 2,169,323,776/32,916
  6. Step 6: Final answer
    x = 65,904.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.