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Finding the Third Proportional to 10,087.88 and 13,847.63

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Solution

The third proportional to 10,087.88 and 13,847.63 is: 19,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.88 : 13,847.63 = 13,847.63 : x
  2. Step 2: Convert to fraction form
    10,087.88/13,847.63 = 13,847.63/x
  3. Step 3: Cross multiply
    10,087.88x = 13,847.63 × 13,847.63
  4. Step 4: Simplify right side
    10,087.88x = 191,756,718.14
  5. Step 5: Solve for x
    x = 191,756,718.14/10,087.88
  6. Step 6: Final answer
    x = 19,008.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.