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Finding the Third Proportional to 30.43 and 66.07

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Solution

The third proportional to 30.43 and 66.07 is: 143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.43 : 66.07 = 66.07 : x
  2. Step 2: Convert to fraction form
    30.43/66.07 = 66.07/x
  3. Step 3: Cross multiply
    30.43x = 66.07 × 66.07
  4. Step 4: Simplify right side
    30.43x = 4,365.84
  5. Step 5: Solve for x
    x = 4,365.84/30.43
  6. Step 6: Final answer
    x = 143.45

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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.