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Finding the Third Proportional to 6,030.81 and 13,288.64

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Solution

The third proportional to 6,030.81 and 13,288.64 is: 29,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.81 : 13,288.64 = 13,288.64 : x
  2. Step 2: Convert to fraction form
    6,030.81/13,288.64 = 13,288.64/x
  3. Step 3: Cross multiply
    6,030.81x = 13,288.64 × 13,288.64
  4. Step 4: Simplify right side
    6,030.81x = 176,587,969.66
  5. Step 5: Solve for x
    x = 176,587,969.66/6,030.81
  6. Step 6: Final answer
    x = 29,280.98

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Why These Related Problems?

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