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Finding the Third Proportional to 30,688 and 63,104

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Solution

The third proportional to 30,688 and 63,104 is: 129,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688 : 63,104 = 63,104 : x
  2. Step 2: Convert to fraction form
    30,688/63,104 = 63,104/x
  3. Step 3: Cross multiply
    30,688x = 63,104 × 63,104
  4. Step 4: Simplify right side
    30,688x = 3,982,114,816
  5. Step 5: Solve for x
    x = 3,982,114,816/30,688
  6. Step 6: Final answer
    x = 129,761.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.