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Finding the Third Proportional to 10,225.88 and 21,908.63

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Solution

The third proportional to 10,225.88 and 21,908.63 is: 46,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.88 : 21,908.63 = 21,908.63 : x
  2. Step 2: Convert to fraction form
    10,225.88/21,908.63 = 21,908.63/x
  3. Step 3: Cross multiply
    10,225.88x = 21,908.63 × 21,908.63
  4. Step 4: Simplify right side
    10,225.88x = 479,987,849.39
  5. Step 5: Solve for x
    x = 479,987,849.39/10,225.88
  6. Step 6: Final answer
    x = 46,938.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.