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Finding the Third Proportional to 5,375.81 and 7,300.13

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Solution

The third proportional to 5,375.81 and 7,300.13 is: 9,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.81 : 7,300.13 = 7,300.13 : x
  2. Step 2: Convert to fraction form
    5,375.81/7,300.13 = 7,300.13/x
  3. Step 3: Cross multiply
    5,375.81x = 7,300.13 × 7,300.13
  4. Step 4: Simplify right side
    5,375.81x = 53,291,825.02
  5. Step 5: Solve for x
    x = 53,291,825.02/5,375.81
  6. Step 6: Final answer
    x = 9,913.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.