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Finding the Third Proportional to 13,053.38 and 19,886.63

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Solution

The third proportional to 13,053.38 and 19,886.63 is: 30,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.38 : 19,886.63 = 19,886.63 : x
  2. Step 2: Convert to fraction form
    13,053.38/19,886.63 = 19,886.63/x
  3. Step 3: Cross multiply
    13,053.38x = 19,886.63 × 19,886.63
  4. Step 4: Simplify right side
    13,053.38x = 395,477,853.89
  5. Step 5: Solve for x
    x = 395,477,853.89/13,053.38
  6. Step 6: Final answer
    x = 30,296.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.