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Finding the Third Proportional to 4,681.13 and 7,040.81

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Solution

The third proportional to 4,681.13 and 7,040.81 is: 10,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.13 : 7,040.81 = 7,040.81 : x
  2. Step 2: Convert to fraction form
    4,681.13/7,040.81 = 7,040.81/x
  3. Step 3: Cross multiply
    4,681.13x = 7,040.81 × 7,040.81
  4. Step 4: Simplify right side
    4,681.13x = 49,573,040.66
  5. Step 5: Solve for x
    x = 49,573,040.66/4,681.13
  6. Step 6: Final answer
    x = 10,589.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.