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Finding the Third Proportional to 5,547.23 and 11,857.64

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Solution

The third proportional to 5,547.23 and 11,857.64 is: 25,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.23 : 11,857.64 = 11,857.64 : x
  2. Step 2: Convert to fraction form
    5,547.23/11,857.64 = 11,857.64/x
  3. Step 3: Cross multiply
    5,547.23x = 11,857.64 × 11,857.64
  4. Step 4: Simplify right side
    5,547.23x = 140,603,641.19
  5. Step 5: Solve for x
    x = 140,603,641.19/5,547.23
  6. Step 6: Final answer
    x = 25,346.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.