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Finding the Third Proportional to 47,554 and 73,594

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Solution

The third proportional to 47,554 and 73,594 is: 113,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,554 : 73,594 = 73,594 : x
  2. Step 2: Convert to fraction form
    47,554/73,594 = 73,594/x
  3. Step 3: Cross multiply
    47,554x = 73,594 × 73,594
  4. Step 4: Simplify right side
    47,554x = 5,416,076,836
  5. Step 5: Solve for x
    x = 5,416,076,836/47,554
  6. Step 6: Final answer
    x = 113,893.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.