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Finding the Third Proportional to 32,697 and 46,044

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Solution

The third proportional to 32,697 and 46,044 is: 64,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697 : 46,044 = 46,044 : x
  2. Step 2: Convert to fraction form
    32,697/46,044 = 46,044/x
  3. Step 3: Cross multiply
    32,697x = 46,044 × 46,044
  4. Step 4: Simplify right side
    32,697x = 2,120,049,936
  5. Step 5: Solve for x
    x = 2,120,049,936/32,697
  6. Step 6: Final answer
    x = 64,839.28

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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.