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Finding the Third Proportional to 7,752.90 and 11,598.82

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Solution

The third proportional to 7,752.90 and 11,598.82 is: 17,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.90 : 11,598.82 = 11,598.82 : x
  2. Step 2: Convert to fraction form
    7,752.90/11,598.82 = 11,598.82/x
  3. Step 3: Cross multiply
    7,752.90x = 11,598.82 × 11,598.82
  4. Step 4: Simplify right side
    7,752.90x = 134,532,632.64
  5. Step 5: Solve for x
    x = 134,532,632.64/7,752.90
  6. Step 6: Final answer
    x = 17,352.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.