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Finding the Third Proportional to 25,620 and 37,434

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Solution

The third proportional to 25,620 and 37,434 is: 54,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 37,434 = 37,434 : x
  2. Step 2: Convert to fraction form
    25,620/37,434 = 37,434/x
  3. Step 3: Cross multiply
    25,620x = 37,434 × 37,434
  4. Step 4: Simplify right side
    25,620x = 1,401,304,356
  5. Step 5: Solve for x
    x = 1,401,304,356/25,620
  6. Step 6: Final answer
    x = 54,695.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.