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Finding the Third Proportional to 30,435.75 and 66,409.88

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Solution

The third proportional to 30,435.75 and 66,409.88 is: 144,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.75 : 66,409.88 = 66,409.88 : x
  2. Step 2: Convert to fraction form
    30,435.75/66,409.88 = 66,409.88/x
  3. Step 3: Cross multiply
    30,435.75x = 66,409.88 × 66,409.88
  4. Step 4: Simplify right side
    30,435.75x = 4,410,271,497.52
  5. Step 5: Solve for x
    x = 4,410,271,497.52/30,435.75
  6. Step 6: Final answer
    x = 144,904.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.