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Finding the Third Proportional to 30,896 and 67,732

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Solution

The third proportional to 30,896 and 67,732 is: 148,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 67,732 = 67,732 : x
  2. Step 2: Convert to fraction form
    30,896/67,732 = 67,732/x
  3. Step 3: Cross multiply
    30,896x = 67,732 × 67,732
  4. Step 4: Simplify right side
    30,896x = 4,587,623,824
  5. Step 5: Solve for x
    x = 4,587,623,824/30,896
  6. Step 6: Final answer
    x = 148,486.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.