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Finding the Third Proportional to 5,157.84 and 7,614.84

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Solution

The third proportional to 5,157.84 and 7,614.84 is: 11,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.84 : 7,614.84 = 7,614.84 : x
  2. Step 2: Convert to fraction form
    5,157.84/7,614.84 = 7,614.84/x
  3. Step 3: Cross multiply
    5,157.84x = 7,614.84 × 7,614.84
  4. Step 4: Simplify right side
    5,157.84x = 57,985,845.34
  5. Step 5: Solve for x
    x = 57,985,845.34/5,157.84
  6. Step 6: Final answer
    x = 11,242.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.