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Finding the Third Proportional to 5,749.42 and 9,420.05

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Solution

The third proportional to 5,749.42 and 9,420.05 is: 15,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.42 : 9,420.05 = 9,420.05 : x
  2. Step 2: Convert to fraction form
    5,749.42/9,420.05 = 9,420.05/x
  3. Step 3: Cross multiply
    5,749.42x = 9,420.05 × 9,420.05
  4. Step 4: Simplify right side
    5,749.42x = 88,737,283.13
  5. Step 5: Solve for x
    x = 88,737,283.13/5,749.42
  6. Step 6: Final answer
    x = 15,434.13

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.