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Finding the Third Proportional to 6,302.81 and 13,253.63

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Solution

The third proportional to 6,302.81 and 13,253.63 is: 27,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.81 : 13,253.63 = 13,253.63 : x
  2. Step 2: Convert to fraction form
    6,302.81/13,253.63 = 13,253.63/x
  3. Step 3: Cross multiply
    6,302.81x = 13,253.63 × 13,253.63
  4. Step 4: Simplify right side
    6,302.81x = 175,658,575.64
  5. Step 5: Solve for x
    x = 175,658,575.64/6,302.81
  6. Step 6: Final answer
    x = 27,869.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.