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Finding the Third Proportional to 40,752 and 61,960.50

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Solution

The third proportional to 40,752 and 61,960.50 is: 94,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,752 : 61,960.50 = 61,960.50 : x
  2. Step 2: Convert to fraction form
    40,752/61,960.50 = 61,960.50/x
  3. Step 3: Cross multiply
    40,752x = 61,960.50 × 61,960.50
  4. Step 4: Simplify right side
    40,752x = 3,839,103,560.25
  5. Step 5: Solve for x
    x = 3,839,103,560.25/40,752
  6. Step 6: Final answer
    x = 94,206.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.