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Finding the Third Proportional to 25,701.05 and 31,419.14

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Solution

The third proportional to 25,701.05 and 31,419.14 is: 38,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.05 : 31,419.14 = 31,419.14 : x
  2. Step 2: Convert to fraction form
    25,701.05/31,419.14 = 31,419.14/x
  3. Step 3: Cross multiply
    25,701.05x = 31,419.14 × 31,419.14
  4. Step 4: Simplify right side
    25,701.05x = 987,162,397.61
  5. Step 5: Solve for x
    x = 987,162,397.61/25,701.05
  6. Step 6: Final answer
    x = 38,409.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.