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Finding the Third Proportional to 30,511 and 62,904.50

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Solution

The third proportional to 30,511 and 62,904.50 is: 129,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511 : 62,904.50 = 62,904.50 : x
  2. Step 2: Convert to fraction form
    30,511/62,904.50 = 62,904.50/x
  3. Step 3: Cross multiply
    30,511x = 62,904.50 × 62,904.50
  4. Step 4: Simplify right side
    30,511x = 3,956,976,120.25
  5. Step 5: Solve for x
    x = 3,956,976,120.25/30,511
  6. Step 6: Final answer
    x = 129,690.15

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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.