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Finding the Third Proportional to 5,289.75 and 11,308.63

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Solution

The third proportional to 5,289.75 and 11,308.63 is: 24,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.75 : 11,308.63 = 11,308.63 : x
  2. Step 2: Convert to fraction form
    5,289.75/11,308.63 = 11,308.63/x
  3. Step 3: Cross multiply
    5,289.75x = 11,308.63 × 11,308.63
  4. Step 4: Simplify right side
    5,289.75x = 127,884,999.39
  5. Step 5: Solve for x
    x = 127,884,999.39/5,289.75
  6. Step 6: Final answer
    x = 24,176.00

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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.