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Finding the Third Proportional to 7,702.59 and 11,880.42

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Solution

The third proportional to 7,702.59 and 11,880.42 is: 18,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.59 : 11,880.42 = 11,880.42 : x
  2. Step 2: Convert to fraction form
    7,702.59/11,880.42 = 11,880.42/x
  3. Step 3: Cross multiply
    7,702.59x = 11,880.42 × 11,880.42
  4. Step 4: Simplify right side
    7,702.59x = 141,144,423.93
  5. Step 5: Solve for x
    x = 141,144,423.93/7,702.59
  6. Step 6: Final answer
    x = 18,324.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.