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Finding the Third Proportional to 20,565 and 31,072.50

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Solution

The third proportional to 20,565 and 31,072.50 is: 46,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 31,072.50 = 31,072.50 : x
  2. Step 2: Convert to fraction form
    20,565/31,072.50 = 31,072.50/x
  3. Step 3: Cross multiply
    20,565x = 31,072.50 × 31,072.50
  4. Step 4: Simplify right side
    20,565x = 965,500,256.25
  5. Step 5: Solve for x
    x = 965,500,256.25/20,565
  6. Step 6: Final answer
    x = 46,948.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.