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Finding the Third Proportional to 30,414.23 and 66,749.06

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Solution

The third proportional to 30,414.23 and 66,749.06 is: 146,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.23 : 66,749.06 = 66,749.06 : x
  2. Step 2: Convert to fraction form
    30,414.23/66,749.06 = 66,749.06/x
  3. Step 3: Cross multiply
    30,414.23x = 66,749.06 × 66,749.06
  4. Step 4: Simplify right side
    30,414.23x = 4,455,437,344.63
  5. Step 5: Solve for x
    x = 4,455,437,344.63/30,414.23
  6. Step 6: Final answer
    x = 146,491.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.