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Finding the Third Proportional to 30,742.88 and 66,710.25

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Solution

The third proportional to 30,742.88 and 66,710.25 is: 144,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.88 : 66,710.25 = 66,710.25 : x
  2. Step 2: Convert to fraction form
    30,742.88/66,710.25 = 66,710.25/x
  3. Step 3: Cross multiply
    30,742.88x = 66,710.25 × 66,710.25
  4. Step 4: Simplify right side
    30,742.88x = 4,450,257,455.06
  5. Step 5: Solve for x
    x = 4,450,257,455.06/30,742.88
  6. Step 6: Final answer
    x = 144,757.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.