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Finding the Third Proportional to 26,652 and 31,390.50

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Solution

The third proportional to 26,652 and 31,390.50 is: 36,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,652 : 31,390.50 = 31,390.50 : x
  2. Step 2: Convert to fraction form
    26,652/31,390.50 = 31,390.50/x
  3. Step 3: Cross multiply
    26,652x = 31,390.50 × 31,390.50
  4. Step 4: Simplify right side
    26,652x = 985,363,490.25
  5. Step 5: Solve for x
    x = 985,363,490.25/26,652
  6. Step 6: Final answer
    x = 36,971.47

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.