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Finding the Third Proportional to 30,029 and 63,751

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Solution

The third proportional to 30,029 and 63,751 is: 135,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,029 : 63,751 = 63,751 : x
  2. Step 2: Convert to fraction form
    30,029/63,751 = 63,751/x
  3. Step 3: Cross multiply
    30,029x = 63,751 × 63,751
  4. Step 4: Simplify right side
    30,029x = 4,064,190,001
  5. Step 5: Solve for x
    x = 4,064,190,001/30,029
  6. Step 6: Final answer
    x = 135,342.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.