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Finding the Third Proportional to 13,258.69 and 19,888.03

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Solution

The third proportional to 13,258.69 and 19,888.03 is: 29,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 19,888.03 = 19,888.03 : x
  2. Step 2: Convert to fraction form
    13,258.69/19,888.03 = 19,888.03/x
  3. Step 3: Cross multiply
    13,258.69x = 19,888.03 × 19,888.03
  4. Step 4: Simplify right side
    13,258.69x = 395,533,787.00
  5. Step 5: Solve for x
    x = 395,533,787.00/13,258.69
  6. Step 6: Final answer
    x = 29,832.05

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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.