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Finding the Third Proportional to 10,945.88 and 17,355.38

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Solution

The third proportional to 10,945.88 and 17,355.38 is: 27,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.88 : 17,355.38 = 17,355.38 : x
  2. Step 2: Convert to fraction form
    10,945.88/17,355.38 = 17,355.38/x
  3. Step 3: Cross multiply
    10,945.88x = 17,355.38 × 17,355.38
  4. Step 4: Simplify right side
    10,945.88x = 301,209,041.39
  5. Step 5: Solve for x
    x = 301,209,041.39/10,945.88
  6. Step 6: Final answer
    x = 27,518.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.