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Finding the Third Proportional to 25,072 and 37,334

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Solution

The third proportional to 25,072 and 37,334 is: 55,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,072 : 37,334 = 37,334 : x
  2. Step 2: Convert to fraction form
    25,072/37,334 = 37,334/x
  3. Step 3: Cross multiply
    25,072x = 37,334 × 37,334
  4. Step 4: Simplify right side
    25,072x = 1,393,827,556
  5. Step 5: Solve for x
    x = 1,393,827,556/25,072
  6. Step 6: Final answer
    x = 55,592.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.