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Finding the Third Proportional to 47,153 and 62,951

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Solution

The third proportional to 47,153 and 62,951 is: 84,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,153 : 62,951 = 62,951 : x
  2. Step 2: Convert to fraction form
    47,153/62,951 = 62,951/x
  3. Step 3: Cross multiply
    47,153x = 62,951 × 62,951
  4. Step 4: Simplify right side
    47,153x = 3,962,828,401
  5. Step 5: Solve for x
    x = 3,962,828,401/47,153
  6. Step 6: Final answer
    x = 84,041.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.