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Finding the Third Proportional to 21,250 and 31,123

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Solution

The third proportional to 21,250 and 31,123 is: 45,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,250 : 31,123 = 31,123 : x
  2. Step 2: Convert to fraction form
    21,250/31,123 = 31,123/x
  3. Step 3: Cross multiply
    21,250x = 31,123 × 31,123
  4. Step 4: Simplify right side
    21,250x = 968,641,129
  5. Step 5: Solve for x
    x = 968,641,129/21,250
  6. Step 6: Final answer
    x = 45,583.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.