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Finding the Third Proportional to 28,151 and 39,594

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Solution

The third proportional to 28,151 and 39,594 is: 55,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,151 : 39,594 = 39,594 : x
  2. Step 2: Convert to fraction form
    28,151/39,594 = 39,594/x
  3. Step 3: Cross multiply
    28,151x = 39,594 × 39,594
  4. Step 4: Simplify right side
    28,151x = 1,567,684,836
  5. Step 5: Solve for x
    x = 1,567,684,836/28,151
  6. Step 6: Final answer
    x = 55,688.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.