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Finding the Third Proportional to 6,040.63 and 9,032.81

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Solution

The third proportional to 6,040.63 and 9,032.81 is: 13,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040.63 : 9,032.81 = 9,032.81 : x
  2. Step 2: Convert to fraction form
    6,040.63/9,032.81 = 9,032.81/x
  3. Step 3: Cross multiply
    6,040.63x = 9,032.81 × 9,032.81
  4. Step 4: Simplify right side
    6,040.63x = 81,591,701.66
  5. Step 5: Solve for x
    x = 81,591,701.66/6,040.63
  6. Step 6: Final answer
    x = 13,507.16

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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.