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Finding the Third Proportional to 7,443.56 and 10,103.06

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Solution

The third proportional to 7,443.56 and 10,103.06 is: 13,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.56 : 10,103.06 = 10,103.06 : x
  2. Step 2: Convert to fraction form
    7,443.56/10,103.06 = 10,103.06/x
  3. Step 3: Cross multiply
    7,443.56x = 10,103.06 × 10,103.06
  4. Step 4: Simplify right side
    7,443.56x = 102,071,871.88
  5. Step 5: Solve for x
    x = 102,071,871.88/7,443.56
  6. Step 6: Final answer
    x = 13,712.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.