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Finding the Third Proportional to 5,109.33 and 11,001.45

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Solution

The third proportional to 5,109.33 and 11,001.45 is: 23,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.33 : 11,001.45 = 11,001.45 : x
  2. Step 2: Convert to fraction form
    5,109.33/11,001.45 = 11,001.45/x
  3. Step 3: Cross multiply
    5,109.33x = 11,001.45 × 11,001.45
  4. Step 4: Simplify right side
    5,109.33x = 121,031,798.96
  5. Step 5: Solve for x
    x = 121,031,798.96/5,109.33
  6. Step 6: Final answer
    x = 23,688.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.