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Finding the Third Proportional to 5,461.03 and 11,975.06

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Solution

The third proportional to 5,461.03 and 11,975.06 is: 26,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.03 : 11,975.06 = 11,975.06 : x
  2. Step 2: Convert to fraction form
    5,461.03/11,975.06 = 11,975.06/x
  3. Step 3: Cross multiply
    5,461.03x = 11,975.06 × 11,975.06
  4. Step 4: Simplify right side
    5,461.03x = 143,402,121.88
  5. Step 5: Solve for x
    x = 143,402,121.88/5,461.03
  6. Step 6: Final answer
    x = 26,259.17

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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.