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Finding the Third Proportional to 7,797.52 and 11,985.47

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Solution

The third proportional to 7,797.52 and 11,985.47 is: 18,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.52 : 11,985.47 = 11,985.47 : x
  2. Step 2: Convert to fraction form
    7,797.52/11,985.47 = 11,985.47/x
  3. Step 3: Cross multiply
    7,797.52x = 11,985.47 × 11,985.47
  4. Step 4: Simplify right side
    7,797.52x = 143,651,461.16
  5. Step 5: Solve for x
    x = 143,651,461.16/7,797.52
  6. Step 6: Final answer
    x = 18,422.72

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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.