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Finding the Third Proportional to 8,577.14 and 18,783.14

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Solution

The third proportional to 8,577.14 and 18,783.14 is: 41,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.14 : 18,783.14 = 18,783.14 : x
  2. Step 2: Convert to fraction form
    8,577.14/18,783.14 = 18,783.14/x
  3. Step 3: Cross multiply
    8,577.14x = 18,783.14 × 18,783.14
  4. Step 4: Simplify right side
    8,577.14x = 352,806,371.74
  5. Step 5: Solve for x
    x = 352,806,371.74/8,577.14
  6. Step 6: Final answer
    x = 41,133.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.