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Finding the Third Proportional to 37,465 and 52,701

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Solution

The third proportional to 37,465 and 52,701 is: 74,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465 : 52,701 = 52,701 : x
  2. Step 2: Convert to fraction form
    37,465/52,701 = 52,701/x
  3. Step 3: Cross multiply
    37,465x = 52,701 × 52,701
  4. Step 4: Simplify right side
    37,465x = 2,777,395,401
  5. Step 5: Solve for x
    x = 2,777,395,401/37,465
  6. Step 6: Final answer
    x = 74,133.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.