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Finding the Third Proportional to 47,328 and 73,560

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Solution

The third proportional to 47,328 and 73,560 is: 114,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,328 : 73,560 = 73,560 : x
  2. Step 2: Convert to fraction form
    47,328/73,560 = 73,560/x
  3. Step 3: Cross multiply
    47,328x = 73,560 × 73,560
  4. Step 4: Simplify right side
    47,328x = 5,411,073,600
  5. Step 5: Solve for x
    x = 5,411,073,600/47,328
  6. Step 6: Final answer
    x = 114,331.34

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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.