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Finding the Third Proportional to 6,510.06 and 14,033.88

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Solution

The third proportional to 6,510.06 and 14,033.88 is: 30,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.06 : 14,033.88 = 14,033.88 : x
  2. Step 2: Convert to fraction form
    6,510.06/14,033.88 = 14,033.88/x
  3. Step 3: Cross multiply
    6,510.06x = 14,033.88 × 14,033.88
  4. Step 4: Simplify right side
    6,510.06x = 196,949,866.79
  5. Step 5: Solve for x
    x = 196,949,866.79/6,510.06
  6. Step 6: Final answer
    x = 30,253.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.