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Finding the Third Proportional to 4,564.69 and 10,040.63

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Solution

The third proportional to 4,564.69 and 10,040.63 is: 22,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.69 : 10,040.63 = 10,040.63 : x
  2. Step 2: Convert to fraction form
    4,564.69/10,040.63 = 10,040.63/x
  3. Step 3: Cross multiply
    4,564.69x = 10,040.63 × 10,040.63
  4. Step 4: Simplify right side
    4,564.69x = 100,814,150.39
  5. Step 5: Solve for x
    x = 100,814,150.39/4,564.69
  6. Step 6: Final answer
    x = 22,085.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.