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Finding the Third Proportional to 7,119.56 and 10,254.94

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Solution

The third proportional to 7,119.56 and 10,254.94 is: 14,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.56 : 10,254.94 = 10,254.94 : x
  2. Step 2: Convert to fraction form
    7,119.56/10,254.94 = 10,254.94/x
  3. Step 3: Cross multiply
    7,119.56x = 10,254.94 × 10,254.94
  4. Step 4: Simplify right side
    7,119.56x = 105,163,743.13
  5. Step 5: Solve for x
    x = 105,163,743.13/7,119.56
  6. Step 6: Final answer
    x = 14,771.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.