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Finding the Third Proportional to 10,644.75 and 22,551.75

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Solution

The third proportional to 10,644.75 and 22,551.75 is: 47,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.75 : 22,551.75 = 22,551.75 : x
  2. Step 2: Convert to fraction form
    10,644.75/22,551.75 = 22,551.75/x
  3. Step 3: Cross multiply
    10,644.75x = 22,551.75 × 22,551.75
  4. Step 4: Simplify right side
    10,644.75x = 508,581,428.06
  5. Step 5: Solve for x
    x = 508,581,428.06/10,644.75
  6. Step 6: Final answer
    x = 47,777.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.