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Finding the Third Proportional to 5,422 and 7,365

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Solution

The third proportional to 5,422 and 7,365 is: 10,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422 : 7,365 = 7,365 : x
  2. Step 2: Convert to fraction form
    5,422/7,365 = 7,365/x
  3. Step 3: Cross multiply
    5,422x = 7,365 × 7,365
  4. Step 4: Simplify right side
    5,422x = 54,243,225
  5. Step 5: Solve for x
    x = 54,243,225/5,422
  6. Step 6: Final answer
    x = 10,004.28

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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.