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Finding the Third Proportional to 35,382 and 74,604

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Solution

The third proportional to 35,382 and 74,604 is: 157,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382 : 74,604 = 74,604 : x
  2. Step 2: Convert to fraction form
    35,382/74,604 = 74,604/x
  3. Step 3: Cross multiply
    35,382x = 74,604 × 74,604
  4. Step 4: Simplify right side
    35,382x = 5,565,756,816
  5. Step 5: Solve for x
    x = 5,565,756,816/35,382
  6. Step 6: Final answer
    x = 157,304.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.