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Finding the Third Proportional to 30,126.94 and 45,101.81

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Solution

The third proportional to 30,126.94 and 45,101.81 is: 67,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.94 : 45,101.81 = 45,101.81 : x
  2. Step 2: Convert to fraction form
    30,126.94/45,101.81 = 45,101.81/x
  3. Step 3: Cross multiply
    30,126.94x = 45,101.81 × 45,101.81
  4. Step 4: Simplify right side
    30,126.94x = 2,034,173,490.79
  5. Step 5: Solve for x
    x = 2,034,173,490.79/30,126.94
  6. Step 6: Final answer
    x = 67,520.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.