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Finding the Third Proportional to 5,911.03 and 12,973.78

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Solution

The third proportional to 5,911.03 and 12,973.78 is: 28,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.03 : 12,973.78 = 12,973.78 : x
  2. Step 2: Convert to fraction form
    5,911.03/12,973.78 = 12,973.78/x
  3. Step 3: Cross multiply
    5,911.03x = 12,973.78 × 12,973.78
  4. Step 4: Simplify right side
    5,911.03x = 168,318,999.92
  5. Step 5: Solve for x
    x = 168,318,999.92/5,911.03
  6. Step 6: Final answer
    x = 28,475.40

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