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Finding the Third Proportional to 25,528 and 37,401

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Solution

The third proportional to 25,528 and 37,401 is: 54,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,528 : 37,401 = 37,401 : x
  2. Step 2: Convert to fraction form
    25,528/37,401 = 37,401/x
  3. Step 3: Cross multiply
    25,528x = 37,401 × 37,401
  4. Step 4: Simplify right side
    25,528x = 1,398,834,801
  5. Step 5: Solve for x
    x = 1,398,834,801/25,528
  6. Step 6: Final answer
    x = 54,796.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.