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Finding the Third Proportional to 2,128.78 and 4,677.12

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Solution

The third proportional to 2,128.78 and 4,677.12 is: 10,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.78 : 4,677.12 = 4,677.12 : x
  2. Step 2: Convert to fraction form
    2,128.78/4,677.12 = 4,677.12/x
  3. Step 3: Cross multiply
    2,128.78x = 4,677.12 × 4,677.12
  4. Step 4: Simplify right side
    2,128.78x = 21,875,425.19
  5. Step 5: Solve for x
    x = 21,875,425.19/2,128.78
  6. Step 6: Final answer
    x = 10,276.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.