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Finding the Third Proportional to 40,754 and 61,964

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Solution

The third proportional to 40,754 and 61,964 is: 94,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,754 : 61,964 = 61,964 : x
  2. Step 2: Convert to fraction form
    40,754/61,964 = 61,964/x
  3. Step 3: Cross multiply
    40,754x = 61,964 × 61,964
  4. Step 4: Simplify right side
    40,754x = 3,839,537,296
  5. Step 5: Solve for x
    x = 3,839,537,296/40,754
  6. Step 6: Final answer
    x = 94,212.53

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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.