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Finding the Third Proportional to 21,269 and 31,244.50

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Solution

The third proportional to 21,269 and 31,244.50 is: 45,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269 : 31,244.50 = 31,244.50 : x
  2. Step 2: Convert to fraction form
    21,269/31,244.50 = 31,244.50/x
  3. Step 3: Cross multiply
    21,269x = 31,244.50 × 31,244.50
  4. Step 4: Simplify right side
    21,269x = 976,218,780.25
  5. Step 5: Solve for x
    x = 976,218,780.25/21,269
  6. Step 6: Final answer
    x = 45,898.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.