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Finding the Third Proportional to 7,682.63 and 11,594.53

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Solution

The third proportional to 7,682.63 and 11,594.53 is: 17,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.63 : 11,594.53 = 11,594.53 : x
  2. Step 2: Convert to fraction form
    7,682.63/11,594.53 = 11,594.53/x
  3. Step 3: Cross multiply
    7,682.63x = 11,594.53 × 11,594.53
  4. Step 4: Simplify right side
    7,682.63x = 134,433,154.91
  5. Step 5: Solve for x
    x = 134,433,154.91/7,682.63
  6. Step 6: Final answer
    x = 17,498.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.