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Finding the Third Proportional to 7,416.56 and 10,845.56

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Solution

The third proportional to 7,416.56 and 10,845.56 is: 15,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.56 : 10,845.56 = 10,845.56 : x
  2. Step 2: Convert to fraction form
    7,416.56/10,845.56 = 10,845.56/x
  3. Step 3: Cross multiply
    7,416.56x = 10,845.56 × 10,845.56
  4. Step 4: Simplify right side
    7,416.56x = 117,626,225.94
  5. Step 5: Solve for x
    x = 117,626,225.94/7,416.56
  6. Step 6: Final answer
    x = 15,859.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.