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Finding the Third Proportional to 34,762 and 75,732

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Solution

The third proportional to 34,762 and 75,732 is: 164,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762 : 75,732 = 75,732 : x
  2. Step 2: Convert to fraction form
    34,762/75,732 = 75,732/x
  3. Step 3: Cross multiply
    34,762x = 75,732 × 75,732
  4. Step 4: Simplify right side
    34,762x = 5,735,335,824
  5. Step 5: Solve for x
    x = 5,735,335,824/34,762
  6. Step 6: Final answer
    x = 164,988.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.