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Finding the Third Proportional to 5,281.88 and 11,210.06

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Solution

The third proportional to 5,281.88 and 11,210.06 is: 23,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.88 : 11,210.06 = 11,210.06 : x
  2. Step 2: Convert to fraction form
    5,281.88/11,210.06 = 11,210.06/x
  3. Step 3: Cross multiply
    5,281.88x = 11,210.06 × 11,210.06
  4. Step 4: Simplify right side
    5,281.88x = 125,665,501.25
  5. Step 5: Solve for x
    x = 125,665,501.25/5,281.88
  6. Step 6: Final answer
    x = 23,791.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.