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Finding the Third Proportional to 7,648.59 and 11,177.16

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Solution

The third proportional to 7,648.59 and 11,177.16 is: 16,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.59 : 11,177.16 = 11,177.16 : x
  2. Step 2: Convert to fraction form
    7,648.59/11,177.16 = 11,177.16/x
  3. Step 3: Cross multiply
    7,648.59x = 11,177.16 × 11,177.16
  4. Step 4: Simplify right side
    7,648.59x = 124,928,821.84
  5. Step 5: Solve for x
    x = 124,928,821.84/7,648.59
  6. Step 6: Final answer
    x = 16,333.57

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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.