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Finding the Third Proportional to 10,504.69 and 15,549.47

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Solution

The third proportional to 10,504.69 and 15,549.47 is: 23,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.69 : 15,549.47 = 15,549.47 : x
  2. Step 2: Convert to fraction form
    10,504.69/15,549.47 = 15,549.47/x
  3. Step 3: Cross multiply
    10,504.69x = 15,549.47 × 15,549.47
  4. Step 4: Simplify right side
    10,504.69x = 241,785,978.41
  5. Step 5: Solve for x
    x = 241,785,978.41/10,504.69
  6. Step 6: Final answer
    x = 23,016.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.