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Finding the Third Proportional to 30,524 and 62,875

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Solution

The third proportional to 30,524 and 62,875 is: 129,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524 : 62,875 = 62,875 : x
  2. Step 2: Convert to fraction form
    30,524/62,875 = 62,875/x
  3. Step 3: Cross multiply
    30,524x = 62,875 × 62,875
  4. Step 4: Simplify right side
    30,524x = 3,953,265,625
  5. Step 5: Solve for x
    x = 3,953,265,625/30,524
  6. Step 6: Final answer
    x = 129,513.35

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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.