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Finding the Third Proportional to 8,695.69 and 13,084.88

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Solution

The third proportional to 8,695.69 and 13,084.88 is: 19,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.69 : 13,084.88 = 13,084.88 : x
  2. Step 2: Convert to fraction form
    8,695.69/13,084.88 = 13,084.88/x
  3. Step 3: Cross multiply
    8,695.69x = 13,084.88 × 13,084.88
  4. Step 4: Simplify right side
    8,695.69x = 171,213,953.77
  5. Step 5: Solve for x
    x = 171,213,953.77/8,695.69
  6. Step 6: Final answer
    x = 19,689.52

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