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Finding the Third Proportional to 39,701 and 54,435

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Solution

The third proportional to 39,701 and 54,435 is: 74,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,701 : 54,435 = 54,435 : x
  2. Step 2: Convert to fraction form
    39,701/54,435 = 54,435/x
  3. Step 3: Cross multiply
    39,701x = 54,435 × 54,435
  4. Step 4: Simplify right side
    39,701x = 2,963,169,225
  5. Step 5: Solve for x
    x = 2,963,169,225/39,701
  6. Step 6: Final answer
    x = 74,637.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.