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Finding the Third Proportional to 30,535.50 and 45,573

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Solution

The third proportional to 30,535.50 and 45,573 is: 68,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.50 : 45,573 = 45,573 : x
  2. Step 2: Convert to fraction form
    30,535.50/45,573 = 45,573/x
  3. Step 3: Cross multiply
    30,535.50x = 45,573 × 45,573
  4. Step 4: Simplify right side
    30,535.50x = 2,076,898,329
  5. Step 5: Solve for x
    x = 2,076,898,329/30,535.50
  6. Step 6: Final answer
    x = 68,015.86

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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.