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Finding the Third Proportional to 10,747.05 and 23,561.51

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Solution

The third proportional to 10,747.05 and 23,561.51 is: 51,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.05 : 23,561.51 = 23,561.51 : x
  2. Step 2: Convert to fraction form
    10,747.05/23,561.51 = 23,561.51/x
  3. Step 3: Cross multiply
    10,747.05x = 23,561.51 × 23,561.51
  4. Step 4: Simplify right side
    10,747.05x = 555,144,650.40
  5. Step 5: Solve for x
    x = 555,144,650.40/10,747.05
  6. Step 6: Final answer
    x = 51,655.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.