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Finding the Third Proportional to 30,754 and 67,376

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Solution

The third proportional to 30,754 and 67,376 is: 147,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754 : 67,376 = 67,376 : x
  2. Step 2: Convert to fraction form
    30,754/67,376 = 67,376/x
  3. Step 3: Cross multiply
    30,754x = 67,376 × 67,376
  4. Step 4: Simplify right side
    30,754x = 4,539,525,376
  5. Step 5: Solve for x
    x = 4,539,525,376/30,754
  6. Step 6: Final answer
    x = 147,607.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.