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Finding the Third Proportional to 30,177.56 and 45,000.56

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Solution

The third proportional to 30,177.56 and 45,000.56 is: 67,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.56 : 45,000.56 = 45,000.56 : x
  2. Step 2: Convert to fraction form
    30,177.56/45,000.56 = 45,000.56/x
  3. Step 3: Cross multiply
    30,177.56x = 45,000.56 × 45,000.56
  4. Step 4: Simplify right side
    30,177.56x = 2,025,050,625.32
  5. Step 5: Solve for x
    x = 2,025,050,625.32/30,177.56
  6. Step 6: Final answer
    x = 67,104.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.