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Finding the Third Proportional to 5,087.81 and 13,008.09

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Solution

The third proportional to 5,087.81 and 13,008.09 is: 33,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 13,008.09 = 13,008.09 : x
  2. Step 2: Convert to fraction form
    5,087.81/13,008.09 = 13,008.09/x
  3. Step 3: Cross multiply
    5,087.81x = 13,008.09 × 13,008.09
  4. Step 4: Simplify right side
    5,087.81x = 169,210,503.01
  5. Step 5: Solve for x
    x = 169,210,503.01/5,087.81
  6. Step 6: Final answer
    x = 33,258.01

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.