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Finding the Third Proportional to 28,106 and 37,594

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Solution

The third proportional to 28,106 and 37,594 is: 50,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,106 : 37,594 = 37,594 : x
  2. Step 2: Convert to fraction form
    28,106/37,594 = 37,594/x
  3. Step 3: Cross multiply
    28,106x = 37,594 × 37,594
  4. Step 4: Simplify right side
    28,106x = 1,413,308,836
  5. Step 5: Solve for x
    x = 1,413,308,836/28,106
  6. Step 6: Final answer
    x = 50,284.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.