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Finding the Third Proportional to 20,850 and 31,239

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Solution

The third proportional to 20,850 and 31,239 is: 46,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850 : 31,239 = 31,239 : x
  2. Step 2: Convert to fraction form
    20,850/31,239 = 31,239/x
  3. Step 3: Cross multiply
    20,850x = 31,239 × 31,239
  4. Step 4: Simplify right side
    20,850x = 975,875,121
  5. Step 5: Solve for x
    x = 975,875,121/20,850
  6. Step 6: Final answer
    x = 46,804.56

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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.