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Finding the Third Proportional to 7,256.81 and 14,821.31

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Solution

The third proportional to 7,256.81 and 14,821.31 is: 30,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.81 : 14,821.31 = 14,821.31 : x
  2. Step 2: Convert to fraction form
    7,256.81/14,821.31 = 14,821.31/x
  3. Step 3: Cross multiply
    7,256.81x = 14,821.31 × 14,821.31
  4. Step 4: Simplify right side
    7,256.81x = 219,671,304.22
  5. Step 5: Solve for x
    x = 219,671,304.22/7,256.81
  6. Step 6: Final answer
    x = 30,271.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.