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Finding the Third Proportional to 10,428.75 and 21,720.38

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Solution

The third proportional to 10,428.75 and 21,720.38 is: 45,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.75 : 21,720.38 = 21,720.38 : x
  2. Step 2: Convert to fraction form
    10,428.75/21,720.38 = 21,720.38/x
  3. Step 3: Cross multiply
    10,428.75x = 21,720.38 × 21,720.38
  4. Step 4: Simplify right side
    10,428.75x = 471,774,690.14
  5. Step 5: Solve for x
    x = 471,774,690.14/10,428.75
  6. Step 6: Final answer
    x = 45,237.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.