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Finding the Third Proportional to 13,158 and 19,877.63

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Solution

The third proportional to 13,158 and 19,877.63 is: 30,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158 : 19,877.63 = 19,877.63 : x
  2. Step 2: Convert to fraction form
    13,158/19,877.63 = 19,877.63/x
  3. Step 3: Cross multiply
    13,158x = 19,877.63 × 19,877.63
  4. Step 4: Simplify right side
    13,158x = 395,119,975.64
  5. Step 5: Solve for x
    x = 395,119,975.64/13,158
  6. Step 6: Final answer
    x = 30,028.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.