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Finding the Third Proportional to 25,288 and 37,019

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Solution

The third proportional to 25,288 and 37,019 is: 54,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,288 : 37,019 = 37,019 : x
  2. Step 2: Convert to fraction form
    25,288/37,019 = 37,019/x
  3. Step 3: Cross multiply
    25,288x = 37,019 × 37,019
  4. Step 4: Simplify right side
    25,288x = 1,370,406,361
  5. Step 5: Solve for x
    x = 1,370,406,361/25,288
  6. Step 6: Final answer
    x = 54,191.96

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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.