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Finding the Third Proportional to 20,506.50 and 31,437

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Solution

The third proportional to 20,506.50 and 31,437 is: 48,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.50 : 31,437 = 31,437 : x
  2. Step 2: Convert to fraction form
    20,506.50/31,437 = 31,437/x
  3. Step 3: Cross multiply
    20,506.50x = 31,437 × 31,437
  4. Step 4: Simplify right side
    20,506.50x = 988,284,969
  5. Step 5: Solve for x
    x = 988,284,969/20,506.50
  6. Step 6: Final answer
    x = 48,193.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.