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Finding the Third Proportional to 10,055.31 and 13,222.78

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Solution

The third proportional to 10,055.31 and 13,222.78 is: 17,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.31 : 13,222.78 = 13,222.78 : x
  2. Step 2: Convert to fraction form
    10,055.31/13,222.78 = 13,222.78/x
  3. Step 3: Cross multiply
    10,055.31x = 13,222.78 × 13,222.78
  4. Step 4: Simplify right side
    10,055.31x = 174,841,943.99
  5. Step 5: Solve for x
    x = 174,841,943.99/10,055.31
  6. Step 6: Final answer
    x = 17,388.02

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.