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Finding the Third Proportional to 30,262.50 and 66,498.75

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Solution

The third proportional to 30,262.50 and 66,498.75 is: 146,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.50 : 66,498.75 = 66,498.75 : x
  2. Step 2: Convert to fraction form
    30,262.50/66,498.75 = 66,498.75/x
  3. Step 3: Cross multiply
    30,262.50x = 66,498.75 × 66,498.75
  4. Step 4: Simplify right side
    30,262.50x = 4,422,083,751.56
  5. Step 5: Solve for x
    x = 4,422,083,751.56/30,262.50
  6. Step 6: Final answer
    x = 146,124.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.