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Finding the Third Proportional to 8,602.03 and 12,743.16

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Solution

The third proportional to 8,602.03 and 12,743.16 is: 18,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.03 : 12,743.16 = 12,743.16 : x
  2. Step 2: Convert to fraction form
    8,602.03/12,743.16 = 12,743.16/x
  3. Step 3: Cross multiply
    8,602.03x = 12,743.16 × 12,743.16
  4. Step 4: Simplify right side
    8,602.03x = 162,388,031.21
  5. Step 5: Solve for x
    x = 162,388,031.21/8,602.03
  6. Step 6: Final answer
    x = 18,877.87

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.