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Finding the Third Proportional to 12,708 and 29,290.50

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Solution

The third proportional to 12,708 and 29,290.50 is: 67,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708 : 29,290.50 = 29,290.50 : x
  2. Step 2: Convert to fraction form
    12,708/29,290.50 = 29,290.50/x
  3. Step 3: Cross multiply
    12,708x = 29,290.50 × 29,290.50
  4. Step 4: Simplify right side
    12,708x = 857,933,390.25
  5. Step 5: Solve for x
    x = 857,933,390.25/12,708
  6. Step 6: Final answer
    x = 67,511.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.