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Finding the Third Proportional to 39,752 and 55,713

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Solution

The third proportional to 39,752 and 55,713 is: 78,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 55,713 = 55,713 : x
  2. Step 2: Convert to fraction form
    39,752/55,713 = 55,713/x
  3. Step 3: Cross multiply
    39,752x = 55,713 × 55,713
  4. Step 4: Simplify right side
    39,752x = 3,103,938,369
  5. Step 5: Solve for x
    x = 3,103,938,369/39,752
  6. Step 6: Final answer
    x = 78,082.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.