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Finding the Third Proportional to 25,378.50 and 38,070

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Solution

The third proportional to 25,378.50 and 38,070 is: 57,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.50 : 38,070 = 38,070 : x
  2. Step 2: Convert to fraction form
    25,378.50/38,070 = 38,070/x
  3. Step 3: Cross multiply
    25,378.50x = 38,070 × 38,070
  4. Step 4: Simplify right side
    25,378.50x = 1,449,324,900
  5. Step 5: Solve for x
    x = 1,449,324,900/25,378.50
  6. Step 6: Final answer
    x = 57,108.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.